SOLUTION:
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:
[tex]\frac{3}{5}\text{ of x = 51}[/tex]Simplifying further, we have that:
[tex]\frac{3x}{5}\text{ = 51}[/tex]Cross-multiplying, we have that:
[tex]\begin{gathered} 3x\text{ = 51 X 5} \\ 3x\text{ = 255} \\ \\ \text{Divide both sides by 3, we have that:} \end{gathered}[/tex][tex]\begin{gathered} \text{x = }\frac{255}{3} \\ x\text{ = 85} \end{gathered}[/tex]CONCLUSION:
The money she began with = $ 85
