Question

A 7.5 % of what amount gives $37.50? ANS. $ _________.

Answer 1

If 7.5% of a certain amount gives $37.50

To obtain the amount

Step 1: let the unknown amount be y

7.5% of y will be:

`(7.5)/(100)* y=(7.5y)/(100)=0.075y\text{ }`

Step 2: Equate 0.075y to $37.5 and then solve for y

`\begin{gathered} 0.075y=37.5 \\ \text{divide both sides by 0.075} \\ (0.075y)/(0.075)=(37.5)/(0.075) \end{gathered}`

Then,

`y=(37.5)/(0.075)=500`

Hence, the original amount is $500