Question

Hello, I need helpZoe had x dollars on Monday.Her sister took $4.50 from Zoe on Tuesday. Zoey's mother gave her $20 on Wednesday. Zoey spent half of her money on Thursday.She had $17.80 left in her pocket.How much did Zoey have on Monday?

Answer 1

$20.1

Explanations:

According to the information given:

The amount of money Zoe had on Monday is x dollars.

If her sister took $4.50 from Zoe on Tuesday, the balance on Tuesday will be:

`x-4.50`

If Zoey's mother gave her $20 on Wednesday, her balance on Wednesday will be expressed as:

`\begin{gathered} x-4.50+20 \\ x+15.50 \end{gathered}`

If Zoey has $17.80 left after she spent half of her money on Thursday, then the resulting expression will be:

`\begin{gathered} (x+15.50)-(1)/(2)(x+15.50)=17.80 \\ (1)/(2)(x+15.50)=17.80 \end{gathered}`

Cross multiply and get the value of x:

`\begin{gathered} x+15.50=2(17.80) \\ x+15.50=35.6 \\ x=35.6-15.50 \\ x=\$20.1 \end{gathered}`

This shows that Zoey has $20.1 on Monday