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&X=2*Example 4*: Jillian saved x dollars so that she could buy her mom a birthday present. Unfortunately, she had to spend a third of it on lunch, but then she lent $5 to her brother. If she now has $16, how much money did she begin with?115fYS -16

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ANSWER:

$ 31.5

STEP-BY-STEP EXPLANATION:

Let x be the saving value of Jillian, we can establish the following equation according to the statement:

[tex]16=x-\frac{x}{3}-5[/tex]

We solve for x

[tex]\begin{gathered} 16=\frac{2}{3}x-5 \\ \frac{2}{3}x=16+5 \\ x=\frac{3}{2}\cdot21 \\ x=31.5 \end{gathered}[/tex]

Originally Jillian had saved $ 31.5

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