IXL | Sale prices: find the original price

50% off

original price!

During the sale, Austin pays $40 for a robot. What was the original price?

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Learn with an example

question

50% OFF!

The sale price of a rake is $10. 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 $10, you can set up and solve an equation. Let

represent the original price.

50%

100

Write the percent as a fraction

0.5

Write the fraction as a decimal

0.5

Divide both sides by 0.5

0.5

Divide both sides by 0.5

Simplify

The original price was $20.

Looking for more? Try this:

$Confetti$

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Now entering the Challenge Zone—are you ready?

Teacher tools

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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