Question

tina spent 1/4 of her money on a new purse she paid she paid her mom $5 that she had barred and she spent five she spent $5.75 on hair ribbon if she had $20 left how much money did she start with? show work

Answer 1

The amount she started with is $41

Step-by-step explanation:

Given the following:

• Tina spent 1/4 of her money on purse.

Let $x represent all the money she has.

Then she spent 1/4 of x on purse.

• She paid $5 to her mum

• She spent $5.75 on hair ribbons

• She has $20 left

The total of her money sums to x, including the ones she has spent.

we have:

`\begin{gathered} (1)/(4)x+5+5.75+20=x \\ \\ \end{gathered}`

Solving for x, we have the amount she started with

Subtract (1/4)x from both sides

`\begin{gathered} 30.75=x-(1)/(4)x \\ \\ 30.75=(3x)/(4) \\ \\ \text{Multiply both sides by 4/3} \\ 30.75*(4)/(3)=x \\ \\ x=41 \end{gathered}`

The amount she started with is $41