Gwen had $65 more than Shiyun. Gwen spent
47 of her money and Shiyun spent
23 of her money. In the end, Gwen had 2 times as much as Shiyun. Find the amount of money Shiyun had at first.
| |
Gwen |
Shiyun |
Comparing Gwen
and Shiyun at first |
$65 more |
|
| Before |
7x2 =
14 u |
3x3 =
9 u |
| Change |
- 4x2 =
- 8 u |
- 2x3 =
- 6 u |
| After |
3x2 =
6 u |
1x3 =
3 u |
Comparing Gwen
and Shiyun in the end |
2x3 =
6 u |
1x3 =
3 u |
The amount that Gwen had in the end is repeated. Make the amount that Gwen had in the end the same. LCM of 2 and 3 is 6.
Amount that Gwen had more than Shiyun
= 14 u - 9 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Amount that Shiyun had at first
= 9 u
= 9 x 13
= $117
Answer(s): $117
