Question

Leila bought a sofa on sale for $268. This price was 33% less than the original price.What was the original price?

Answer 1

Answer: $356.44

Step-by-step Explanation: To find the original price of the sofa you need to multiply 33% by $268, but you need to turn the percent into a decimal, to do so you need to divide 33 by 100 & that is 0.33. So 0.33 x $268 is 88.44. After, you add both $268 and $88.44 to get the original price & that is $356.44.

Answer 2

Let P be the original price.

Since $268 is 33% less than the original price, then $268 is equal to 67% of the original price:

`268=(67)/(100)* P`

Then:

`\begin{gathered} P=(100)/(67)*268 \\ =400 \end{gathered}`

Therefore, the original price was $400.