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Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?

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Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?

Zachary has 125 CDs.

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One-fourth of the candies in a bag of are red. If there are 23 red candies, how many candies are in the bag?

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There are 16 girls in a school club. The number of girls is 4 more than twice the number of boys. Find the number of boys in the club.

There are 6 boys in the club.

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There are 18 Cub Scouts in Troop 645 . The number of scouts is 3 more than five times the number of adult leaders. Find the number of adult leaders.

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Lee is emptying dishes and glasses from the dishwasher. The number of dishes is 8 less than the number of glasses. If there are 9 dishes, what is the number of glasses?

There are 17 glasses.

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The number of puppies in the pet store window is twelve less than the number of dogs in the store. If there are 6 puppies in the window, what is the number of dogs in the store?

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After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?

Lisa's original weight was 175 pounds.

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Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original weekly salary?

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Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave?

18%

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Rashid left a $15 tip for a $75 restaurant bill. What percent tip did he leave?

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Yuki bought a dress on sale for $72 . The sale price was 60% of the original price. What was the original price of the dress?

The original price was $120.

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Kim bought a pair of shoes on sale for $40.50 . The sale price was 45% of the original price. What was the original price of the shoes?

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Solve Number Problems

In the following exercises, solve each number word problem.

The sum of a number and eight is 12 . Find the number.

4

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The sum of a number and nine is 17 . Find the number.

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The difference of a number and twelve is 3 . Find the number.

15

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The difference of a number and eight is 4 . Find the number.

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The sum of three times a number and eight is 23 . Find the number.

5

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The sum of twice a number and six is 14 . Find the number.

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The difference of twice a number and seven is 17 . Find the number.

12

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The difference of four times a number and seven is 21 . Find the number.

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Three times the sum of a number and nine is 12 . Find the number.

−5

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Six times the sum of a number and eight is 30 . Find the number.

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One number is six more than the other. Their sum is forty-two. Find the numbers.

18, 24

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One number is five more than the other. Their sum is thirty-three. Find the numbers.

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The sum of two numbers is twenty. One number is four less than the other. Find the numbers.

8, 12

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The sum of two numbers is twenty-seven. One number is seven less than the other. Find the numbers.

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A number is one more than twice another number. Their sum is negative five. Find the numbers.

−2, −3

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One number is six more than five times another. Their sum is six. Find the numbers.

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The sum of two numbers is fourteen. One number is two less than three times the other. Find the numbers.

4, 10

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The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.

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One number is fourteen less than another. If their sum is increased by seven, the result is 85 . Find the numbers.

32, 46

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One number is eleven less than another. If their sum is increased by eight, the result is 71 . Find the numbers.

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The sum of two consecutive integers is 77 . Find the integers.

38, 39

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The sum of two consecutive integers is 89 . Find the integers.

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The sum of two consecutive integers is −23 . Find the integers.

−11, −12

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The sum of two consecutive integers is −37 . Find the integers.

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The sum of three consecutive integers is 78 . Find the integers.

25, 26, 27

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The sum of three consecutive integers is 60 . Find the integers.

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Find three consecutive integers whose sum is −36 .

−11, −12, −13

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Find three consecutive integers whose sum is −3 .

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Everyday math

Shopping Patty paid $35 for a purse on sale for $10 off the original price. What was the original price of the purse?

The original price was $45.

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Shopping Travis bought a pair of boots on sale for $25 off the original price. He paid $60 for the boots. What was the original price of the boots?

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Shopping Minh spent $6.25 on 5 sticker books to give his nephews. Find the cost of each sticker book.

Each sticker book cost $1.25.

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Shopping Alicia bought a package of 8 peaches for $3.20 . Find the cost of each peach.

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Shopping Tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator before tax?

The price of the refrigerator before tax was $1,080.

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Shopping Kenji paid $2,279 for a new living room set, including $129 tax. What was the price of the living room set before tax?

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Writing exercises

Write a few sentences about your thoughts and opinions of word problems. Are these thoughts positive, negative, or neutral? If they are negative, how might you change your way of thinking in order to do better?

Answers will vary.

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When you start to solve a word problem, how do you decide what to let the variable represent?

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

If most of your checks were:

…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific.

…with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math, every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?

…no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need.

Questions & Answers

can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
is it 3×y ?
Joan Reply
J, combine like terms 7x-4y
Bridget Reply
im not good at math so would this help me
Rachael Reply
yes
Asali
I'm not good at math so would you help me
Samantha
what is the problem that i will help you to self with?
Asali
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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