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Translate and solve: of what number is
Identify the parts of the percent proportion. | |
Restate as a proportion. | |
Set up the proportion. Let 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. |
Translate and solve using proportions: What percent of is
Identify the parts of the percent proportion. | |
Restate as a proportion. | |
Set up the proportion. Let 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 of 72 and is 12.5%. |
Translate and solve using proportions: What percent of is
37.5%
Translate and solve using proportions: What percent of is
25%
Use the Definition of Proportion
In the following exercises, write each sentence as a proportion.
is to as is to
is to as is to
wins in games is the same as wins in games.
campers to counselor is the same as campers to counselors.
for ounces is the same as for ounces.
for pounds is the same as for pounds.
In the following exercises, determine whether each equation is a proportion.
Solve Proportions
In the following exercises, solve each proportion.
Solve Applications Using Proportions
In the following exercises, solve the proportion problem.
Pediatricians prescribe milliliters (ml) of acetaminophen for every pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs pounds?
9 ml
Brianna, who weighs kg, just received her shots and needs a pain killer. The pain killer is prescribed for children at milligrams (mg) for every kilogram (kg) of the child’s weight. How many milligrams will the doctor prescribe?
At the gym, Carol takes her pulse for sec and counts beats. How many beats per minute is this? Has Carol met her target heart rate of beats per minute?
114, no
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