Jane and Jade had equal amount of money. Each day, Jane spent $10 and Jade spent $18. When Jane had $100 left, Jade had
15 as much money left as Jane. How much money did the two girls have at first?
| |
Jane |
Jade |
| Before |
10 u + 100 |
18 u + 20 |
| Change |
- 10 u |
- 18 u |
| After |
$100 |
$20 |
Amount that Jade had left
=
15 x 100
= $20
The amount that Jane and Jade had at first is the same.
18 u + 20 = 10 u + 100
18 u - 10 u = 100 - 20
8 u = 80
1 u = 80 ÷ 8 = 10
Amount that Jane had at first
= 10 u + 100
= 10 x 10 + 100
= 100 + 100
= $200
Total amount that both girls had at first
= 2 x 200
= $400
Answer(s): $400
