IXL | Sale prices: find the original price

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If a yo-yo has a sale price of $1, what was the original price?

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question

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During the sale, Whitney pays $356 for a gymnastics mat. What was the original price?

key idea

The sale price is equal to the percent paid times the original price.

sale price

percent paid

original price

solution

Find the percent paid:

To find the percent

paid,

subtract the percent off from 100%.

percent paid

100%

–

percent off

100%

–

50%

With

50%

off, the percent paid is

50%

Write an equation to solve for the original price:

Since

50%

of the original price is equal to the sale price of $356, you can set up and solve an equation. Let

represent the original price.

50%

356

100

Write the percent as a fraction

356

Write the percent as a fraction

0.5

Write the fraction as a decimal

356

Write the fraction as a decimal

0.5

Divide both sides by 0.5

356

0.5

Divide both sides by 0.5

Simplify

712

Simplify

The original price was $712.

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Work it out

Not feeling ready yet? These can help:

O.12Percent of change: find the original amount word problems

O.8Solve percent equations

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