Wendy and Cathy had equal amount of money. Each day, Wendy spent $4 and Cathy spent $6. When Wendy had $100 left, Cathy had
710 as much money left as Wendy. How much money did the two girls have at first?
| |
Wendy |
Cathy |
| Before |
4 u + 100 |
6 u + 70 |
| Change |
- 4 u |
- 6 u |
| After |
$100 |
$70 |
Amount that Cathy had left
=
710 x 100
= $70
The amount that Wendy and Cathy had at first is the same.
6 u + 70 = 4 u + 100
6 u - 4 u = 100 - 70
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that Wendy had at first
= 4 u + 100
= 4 x 15 + 100
= 60 + 100
= $160
Total amount that both girls had at first
= 2 x 160
= $320
Answer(s): $320
