Sarah and Jane had equal amount of money. Each day, Sarah spent $3 and Jane spent $13. When Sarah had $100 left, Jane had
15 as much money left as Sarah. How much money did the two girls have at first?
| |
Sarah |
Jane |
| Before |
3 u + 100 |
13 u + 20 |
| Change |
- 3 u |
- 13 u |
| After |
$100 |
$20 |
Amount that Jane had left
=
15 x 100
= $20
The amount that Sarah and Jane had at first is the same.
13 u + 20 = 3 u + 100
13 u - 3 u = 100 - 20
10 u = 80
1 u = 80 ÷ 10 = 8
Amount that Sarah had at first
= 3 u + 100
= 3 x 8 + 100
= 24 + 100
= $124
Total amount that both girls had at first
= 2 x 124
= $248
Answer(s): $248
