Diana and Sarah had equal amount of money. Each day, Diana spent $3 and Sarah spent $11. When Diana had $100 left, Sarah had
35 as much money left as Diana. How much money did the two girls have at first?
| |
Diana |
Sarah |
| Before |
3 u + 100 |
11 u + 60 |
| Change |
- 3 u |
- 11 u |
| After |
$100 |
$60 |
Amount that Sarah had left
=
35 x 100
= $60
The amount that Diana and Sarah had at first is the same.
11 u + 60 = 3 u + 100
11 u - 3 u = 100 - 60
8 u = 40
1 u = 40 ÷ 8 = 5
Amount that Diana had at first
= 3 u + 100
= 3 x 5 + 100
= 15 + 100
= $115
Total amount that both girls had at first
= 2 x 115
= $230
Answer(s): $230
