Dana and Mary had equal amount of money. Each day, Dana spent $10 and Mary spent $17. When Dana had $112 left, Mary had
12 as much money left as Dana. How much money did the two girls have at first?
| |
Dana |
Mary |
| Before |
10 u + 112 |
17 u + 56 |
| Change |
- 10 u |
- 17 u |
| After |
$112 |
$56 |
Amount that Mary had left
=
12 x 112
= $56
The amount that Dana and Mary had at first is the same.
17 u + 56 = 10 u + 112
17 u - 10 u = 112 - 56
7 u = 56
1 u = 56 ÷ 7 = 8
Amount that Dana had at first
= 10 u + 112
= 10 x 8 + 112
= 80 + 112
= $192
Total amount that both girls had at first
= 2 x 192
= $384
Answer(s): $384
