Cathy and Jane had equal amount of money. Each day, Cathy spent $20 and Jane spent $28. When Cathy had $112 left, Jane had
12 as much money left as Cathy. How much money did the two girls have at first?
| |
Cathy |
Jane |
| Before |
20 u + 112 |
28 u + 56 |
| Change |
- 20 u |
- 28 u |
| After |
$112 |
$56 |
Amount that Jane had left
=
12 x 112
= $56
The amount that Cathy and Jane had at first is the same.
28 u + 56 = 20 u + 112
28 u - 20 u = 112 - 56
8 u = 56
1 u = 56 ÷ 8 = 7
Amount that Cathy had at first
= 20 u + 112
= 20 x 7 + 112
= 140 + 112
= $252
Total amount that both girls had at first
= 2 x 252
= $504
Answer(s): $504
