Elyse had $144 more than Hazel. Elyse spent
35 of her money and Hazel spent
56 of her money. In the end, Elyse had 4 times as much as Hazel. Find the amount of money Hazel had at first.
| |
Elyse |
Hazel |
Comparing Elyse
and Hazel at first |
$144 more |
|
| Before |
5x2 =
10 u |
6x1 =
6 u |
| Change |
- 3x2 =
- 6 u |
- 5x1 =
- 5 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Elyse
and Hazel in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Elyse had in the end is repeated. Make the amount that Elyse had in the end the same. LCM of 4 and 2 is 4.
Amount that Elyse had more than Hazel
= 10 u - 6 u
= 4 u
4 u = 144
1 u = 144 ÷ 4 = 36
Amount that Hazel had at first
= 6 u
= 6 x 36
= $216
Answer(s): $216
