Question

June bought some books for 51 dollars. This was 3/5 of her money. How much money did she have to begin with?

Answer 1

Step 1:

In this question, we have the following:

June bought some books for 51 dollars.

This was 3/5 of her money.

How much money did she have to begin with?

Step 2:

From the question,

Let the total money be x, so that:

`(3)/(5)\text{ of x = 51}`

Simplifying further, we have that:

`(3x)/(5)\text{ = 51}`

Cross-multiplying, we have that:

`\begin{gathered} 3x\text{ = 51 X 5} \\ 3x\text{ = 255} \\ \\ \text{Divide both sides by 3, we have that:} \end{gathered}`
`\begin{gathered} \text{x = }(255)/(3) \\ x\text{ = 85} \end{gathered}`

CONCLUSION:

The money she began with = $ 85