Xuan had $216 more than Gwen. Xuan spent
27 of her money and Gwen spent
34 of her money. In the end, Xuan had 4 times as much as Gwen. Find the amount of money Gwen had at first.
| |
Xuan |
Gwen |
Comparing Xuan
and Gwen at first |
$216 more |
|
| Before |
7x4 =
28 u |
4x5 =
20 u |
| Change |
- 2x4 =
- 8 u |
- 3x5 =
- 15 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Xuan
and Gwen in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Xuan had in the end is repeated. Make the amount that Xuan had in the end the same. LCM of 4 and 5 is 20.
Amount that Xuan had more than Gwen
= 28 u - 20 u
= 8 u
8 u = 216
1 u = 216 ÷ 8 = 27
Amount that Gwen had at first
= 20 u
= 20 x 27
= $540
Answer(s): $540
