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Solve Number Problems

In the following exercises, solve each number word problem.

The sum of a number and three is forty-one. Find the number.

38

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Twice the difference of a number and ten is fifty-four. Find the number.

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One number is nine less than another. Their sum is negative twenty-seven. Find the numbers.

−18 , −9

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One number is eleven more than another. If their sum is increased by seventeen, the result is 90. Find the numbers.

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One number is two more than four times another. Their sum is −13 . Find the numbers.

−3 , −10

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The sum of two consecutive integers is −135 . Find the numbers.

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Find three consecutive integers whose sum is −141 .

−48 , −47 , −46

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Find three consecutive even integers whose sum is 234.

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Find three consecutive odd integers whose sum is 51.

15, 17, 19

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Koji has $5,502 in his savings account. This is $30 less than six times the amount in his checking account. How much money does Koji have in his checking account?

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3.2 Solve Percent Applications

Translate and Solve Basic Percent Equations

In the following exercises, translate and solve.

What number is 67% of 250?

167.5

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300% of 82 is what number?

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12.5% of what number is 20?

160

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72 is 30% of what number?

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What percent of 125 is 150?

120%

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127.5 is what percent of 850?

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Solve Percent Applications

In the following exercises, solve.

The bill for Dino’s lunch was $19.45. He wanted to leave 20% of the total bill as a tip. How much should the tip be?

$3.89

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Reza was very sick and lost 15% of his original weight. He lost 27 pounds. What was his original weight?

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Dolores bought a crib on sale for $350. The sale price was 40% of the original price. What was the original price of the crib?

$875

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Jaden earns $2,680 per month. He pays $938 a month for rent. What percent of his monthly pay goes to rent?

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Find Percent Increase and Percent Decrease

In the following exercises, solve.

Angel’s got a raise in his annual salary from $55,400 to $56,785. Find the percent increase.

2.5%

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Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease.

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Solve Simple Interest Applications

In the following exercises, solve.

Winston deposited $3,294 in a bank account with interest rate 2.6%. How much interest was earned in 5 years?

$428.22

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Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 plus $243 interest. What was the rate of interest?

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Jaime’s refrigerator loan statement said he would pay $1,026 in interest for a 4-year loan at 13.5%. How much did Jaime borrow to buy the refrigerator?

$1,900

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In 12 years, a bond that paid 6.35% interest earned $7,620 interest. What was the principal of the bond?

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Solve Applications with Discount or Mark-up

In the following exercises, find the sale price.

The original price of a handbag was $84. Carole bought it on sale for $21 off.

$63

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Marian wants to buy a coffee table that costs $495. Next week the coffee table will be on sale for $149 off.

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In the following exercises, find the amount of discount and the sale price.

Emmett bought a pair of shoes on sale at 40% off from an original price of $138.

$55.20 $82.80

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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