Gem and Victoria had equal amount of money. Each day, Gem spent $5 and Victoria spent $15. When Gem had $90 left, Victoria had
79 as much money left as Gem. How much money did the two girls have at first?
| |
Gem |
Victoria |
| Before |
5 u + 90 |
15 u + 70 |
| Change |
- 5 u |
- 15 u |
| After |
$90 |
$70 |
Amount that Victoria had left
=
79 x 90
= $70
The amount that Gem and Victoria had at first is the same.
15 u + 70 = 5 u + 90
15 u - 5 u = 90 - 70
10 u = 20
1 u = 20 ÷ 10 = 2
Amount that Gem had at first
= 5 u + 90
= 5 x 2 + 90
= 10 + 90
= $100
Total amount that both girls had at first
= 2 x 100
= $200
Answer(s): $200
