Elyse had $30 more than Hazel at first. After Elyse and Hazel spent an equal amount of money, Hazel had
47 as much as Elyse. How much money did Elyse have left?
| |
Elyse |
Hazel |
Difference |
| Before |
1 u + $30 |
1 u |
$30 |
| Change |
- 1 |
- 1 |
|
| After |
7 p |
4 p |
3 p |
Difference in the amounts between Elyse and Hazel
= 7 p - 4 p
= 3 p
Since both Elyse and Hazel spent an equal amount, the difference in the amounts that Elyse and Hazel had at first and in the end remains unchanged.
3 p = 30
1 p = 30 ÷ 3 = 10
Amount that Elyse had left
= 7 p
= 7 x 10
= $70
Answer(s): $70
