Sarah had $273 more than Hazel. Sarah spent
38 of her money and Hazel spent
45 of her money. In the end, Sarah had 4 times as much as Hazel. Find the amount of money Hazel had at first.
| |
Sarah |
Hazel |
Comparing Sarah
and Hazel at first |
$273 more |
|
| Before |
8x4 =
32 u |
5x5 =
25 u |
| Change |
- 3x4 =
- 12 u |
- 4x5 =
- 20 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Sarah
and Hazel in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Sarah had in the end is repeated. Make the amount that Sarah had in the end the same. LCM of 4 and 5 is 20.
Amount that Sarah had more than Hazel
= 32 u - 25 u
= 7 u
7 u = 273
1 u = 273 ÷ 7 = 39
Amount that Hazel had at first
= 25 u
= 25 x 39
= $975
Answer(s): $975
