Jane and Diana had equal amount of money. Each day, Jane spent $13 and Diana spent $19. When Jane had $81 left, Diana had
19 as much money left as Jane. How much money did the two girls have at first?
| |
Jane |
Diana |
| Before |
13 u + 81 |
19 u + 9 |
| Change |
- 13 u |
- 19 u |
| After |
$81 |
$9 |
Amount that Diana had left
=
19 x 81
= $9
The amount that Jane and Diana had at first is the same.
19 u + 9 = 13 u + 81
19 u - 13 u = 81 - 9
6 u = 72
1 u = 72 ÷ 6 = 12
Amount that Jane had at first
= 13 u + 81
= 13 x 12 + 81
= 156 + 81
= $237
Total amount that both girls had at first
= 2 x 237
= $474
Answer(s): $474
