Answer:
The amount she started with is $41
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:
[tex]\begin{gathered} \frac{1}{4}x+5+5.75+20=x \\ \\ \end{gathered}[/tex]Solving for x, we have the amount she started with
Subtract (1/4)x from both sides
[tex]\begin{gathered} 30.75=x-\frac{1}{4}x \\ \\ 30.75=\frac{3x}{4} \\ \\ \text{Multiply both sides by 4/3} \\ 30.75\times\frac{4}{3}=x \\ \\ x=41 \end{gathered}[/tex]The amount she started with is $41
