Elyse and Cindy had equal amount of money. Each day, Elyse spent $10 and Cindy spent $18. When Elyse had $112 left, Cindy had
47 as much money left as Elyse. How much money did the two girls have at first?
| |
Elyse |
Cindy |
| Before |
10 u + 112 |
18 u + 64 |
| Change |
- 10 u |
- 18 u |
| After |
$112 |
$64 |
Amount that Cindy had left
=
47 x 112
= $64
The amount that Elyse and Cindy had at first is the same.
18 u + 64 = 10 u + 112
18 u - 10 u = 112 - 64
8 u = 48
1 u = 48 ÷ 8 = 6
Amount that Elyse had at first
= 10 u + 112
= 10 x 6 + 112
= 60 + 112
= $172
Total amount that both girls had at first
= 2 x 172
= $344
Answer(s): $344
