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Translate and solve: 6.5% of what number is $1.56 ?

Solution

Identify the parts of the percent proportion. .
Restate as a proportion. .
Set up the proportion. Let n = number. .
Find the cross products and set them equal. .
Simplify. .
Divide both sides by 6.5 to isolate the variable. .
Simplify. .
Write a complete sentence that answers the question. 6.5% of $24 is $1.56.
Check if the answer is reasonable. Yes. 6.5% is a small amount and $1.56 is much less than $24.
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Translate and solve using proportions: 8.5% of what number is $3.23 ?

38

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Translate and solve using proportions: 7.25% of what number is $4.64 ?

64

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Translate and solve using proportions: What percent of 72 is 9 ?

Solution

Identify the parts of the percent proportion. .
Restate as a proportion. .
Set up the proportion. Let n = number. .
Find the cross products and set them equal. .
Simplify. .
Divide both sides by 72. .
Simplify. .
Write a complete sentence that answers the question. 12.5% of 72 is 9.
Check if the answer is reasonable. Yes. 9 is 1 8 of 72 and 1 8 is 12.5%.
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Translate and solve using proportions: What percent of 72 is 27 ?

37.5%

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Translate and solve using proportions: What percent of 92 is 23 ?

25%

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Access additional online resources

Key concepts

  • Use the Definition of Proportion. See [link] .
  • Solve Proportions. See [link] .
  • Solve Applications Using Proportions. See [link] .
  • Write Percent Equations as Proportions. See [link] .
  • Translate and Solve Percent Proportions. See [link] .

Practice makes perfect

Use the Definition of Proportion

In the following exercises, write each sentence as a proportion.

4 is to 15 as 36 is to 135 .

4 15 = 36 135

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7 is to 9 as 35 is to 45 .

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12 is to 5 as 96 is to 40 .

12 5 = 96 40

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15 is to 8 as 75 is to 40 .

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5 wins in 7 games is the same as 115 wins in 161 games.

5 7 = 115 161

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4 wins in 9 games is the same as 36 wins in 81 games.

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8 campers to 1 counselor is the same as 48 campers to 6 counselors.

8 1 = 48 6

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6 campers to 1 counselor is the same as 48 campers to 8 counselors.

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$9.36 for 18 ounces is the same as $2.60 for 5 ounces.

9.36 18 = 2.60 5

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$3.92 for 8 ounces is the same as $1.47 for 3 ounces.

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$18.04 for 11 pounds is the same as $4.92 for 3 pounds.

18.04 11 = 4.92 3

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$12.42 for 27 pounds is the same as $5.52 for 12 pounds.

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In the following exercises, determine whether each equation is a proportion.

13.5 8.5 = 31.05 19.55

yes

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Solve Proportions

In the following exercises, solve each proportion.

Solve Applications Using Proportions

In the following exercises, solve the proportion problem.

Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs 45 pounds?

9 ml

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Brianna, who weighs 6 kg, just received her shots and needs a pain killer. The pain killer is prescribed for children at 15 milligrams (mg) for every 1 kilogram (kg) of the child’s weight. How many milligrams will the doctor prescribe?

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At the gym, Carol takes her pulse for 10 sec and counts 19 beats. How many beats per minute is this? Has Carol met her target heart rate of 140 beats per minute?

114, no

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
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cm
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what is physics
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Can you compute that for me. Ty
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what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
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2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
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can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
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answer
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progressive wave
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A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
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Who can show me the full solution in this problem?
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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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