Please help!! Ashley has x dollars she spends $23.50 on a new top she decides to keep 2 fifths of what she has left which is $13.80 how many dollars did Ashley have originally?

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Answer:

Ashley has $58 initially.

Step-by-step explanation:

Let $x be the initial amount Ashley has.

Dollars spent on new top = $23.50

Amount of money Ashley is left with : $(x - 23.50)

It is given that Ashley decides to keep 2 fifths of what she has left which is $13.80.

[tex]\frac{2}{5}\times (x - 23.50)=13.80[/tex]

[tex]0.4\times (x - 23.50)=13.80[/tex]

Using distribution property, we get

[tex]0.4x - 0.4(23.50)=13.80[/tex]

[tex]0.4x - 9.4=13.80[/tex]

Add 9.4 on both sides.

[tex]0.4x=13.80+9.4[/tex]

[tex]0.4x=23.2[/tex]

Divide both sides by 0.4.

[tex]\frac{0.4x}{0.4}=\frac{23.2}{0.4}[/tex]

[tex]x=58[/tex]

Therefore, the initial amount is $58.

Answer:

Ashley has $58 initially.

Step-by-step explanation:

Ashley has $58 initially.

Step-by-step explanation:

Let $x be the initial amount Ashley has.

Dollars spent on new top = $23.50

Amount of money Ashley is left with : $(x - 23.50)

It is given that Ashley decides to keep 2 fifths of what she has left which is $13.80.

Using distribution property, we get

Add 9.4 on both sides.

Divide both sides by 0.4.

Therefore, the initial amount is $58.

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