Gem and Rachel had equal amount of money. Each day, Gem spent $18 and Rachel spent $24. When Gem had $90 left, Rachel had
25 as much money left as Gem. How much money did the two girls have at first?
| |
Gem |
Rachel |
| Before |
18 u + 90 |
24 u + 36 |
| Change |
- 18 u |
- 24 u |
| After |
$90 |
$36 |
Amount that Rachel had left
=
25 x 90
= $36
The amount that Gem and Rachel had at first is the same.
24 u + 36 = 18 u + 90
24 u - 18 u = 90 - 36
6 u = 54
1 u = 54 ÷ 6 = 9
Amount that Gem had at first
= 18 u + 90
= 18 x 9 + 90
= 162 + 90
= $252
Total amount that both girls had at first
= 2 x 252
= $504
Answer(s): $504
