Question

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

Answer 1

Step-by-step explanation

Let the amount of money she started with be x dollars.

We are told that Tina spent (1/4) of her money on a new purse.

(1/4) of x = (1/4) × x = (x/4)

Then, she paid her mom $5, that she borrowed

Total she has spent at this point = (x/4) + 5

Then, she spent $5.75 on hair ribbon

Total she has spent at this point = (x/4) + 5 + 5.75 = (x/4) + 10.75

Then she had $20 left at the end of the day

So, this means, she started with x dollars, spent [(x/4) + 10.75] dollars and have $20 at the end. In mathematical terms,

x - [(x/4) + 10.75] = 20

x - (x/4) - 10.75 = 20

(3x/4) - 10.75 = 20

(3x/4) = 20 + 10.75

(3x/4) = 30.75