Hazel had $242 less than Gabby. Gabby spent
25 of her money and Hazel spent
23 of her money. In the end, Gabby had 4 times as much as Hazel. Find the amount of money Gabby had at first.
| |
Gabby |
Hazel |
Comparing Gabby
and Hazel at first |
$242 more |
|
| Before |
5x4 =
20 u |
3x3 =
9 u |
| Change |
- 2x4 =
- 8 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Gabby
and Hazel in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Gabby had in the end is repeated. Make the amount that Gabby had in the end the same. LCM of 4 and 3 is 12.
Amount that Hazel had less than Gabby
= 20 u - 9 u
= 11 u
11 u = 242
1 u = 242 ÷ 11 = 22
Amount that Gabby had at first
= 20 u
= 20 x 22
= $440
Answer(s): $440
