Gem and Vanessa had equal amount of money. Each day, Gem spent $19 and Vanessa spent $25. When Gem had $108 left, Vanessa had
12 as much money left as Gem. How much money did the two girls have at first?
| |
Gem |
Vanessa |
| Before |
19 u + 108 |
25 u + 54 |
| Change |
- 19 u |
- 25 u |
| After |
$108 |
$54 |
Amount that Vanessa had left
=
12 x 108
= $54
The amount that Gem and Vanessa had at first is the same.
25 u + 54 = 19 u + 108
25 u - 19 u = 108 - 54
6 u = 54
1 u = 54 ÷ 6 = 9
Amount that Gem had at first
= 19 u + 108
= 19 x 9 + 108
= 171 + 108
= $279
Total amount that both girls had at first
= 2 x 279
= $558
Answer(s): $558
