Lucy and Gwen had equal amount of money. Each day, Lucy spent $10 and Gwen spent $13. When Lucy had $114 left, Gwen had
12 as much money left as Lucy. How much money did the two girls have at first?
| |
Lucy |
Gwen |
| Before |
10 u + 114 |
13 u + 57 |
| Change |
- 10 u |
- 13 u |
| After |
$114 |
$57 |
Amount that Gwen had left
=
12 x 114
= $57
The amount that Lucy and Gwen had at first is the same.
13 u + 57 = 10 u + 114
13 u - 10 u = 114 - 57
3 u = 57
1 u = 57 ÷ 3 = 19
Amount that Lucy had at first
= 10 u + 114
= 10 x 19 + 114
= 190 + 114
= $304
Total amount that both girls had at first
= 2 x 304
= $608
Answer(s): $608
