Shiyun had $672 more than Xandra. Shiyun spent
47 of her money and Xandra spent
34 of her money. In the end, Shiyun had 4 times as much as Xandra. Find the amount of money Xandra had at first.
| |
Shiyun |
Xandra |
Comparing Shiyun
and Xandra at first |
$672 more |
|
| Before |
7x4 =
28 u |
4x3 =
12 u |
| Change |
- 4x4 =
- 16 u |
- 3x3 =
- 9 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Shiyun
and Xandra in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Shiyun had in the end is repeated. Make the amount that Shiyun had in the end the same. LCM of 4 and 3 is 12.
Amount that Shiyun had more than Xandra
= 28 u - 12 u
= 16 u
16 u = 672
1 u = 672 ÷ 16 = 42
Amount that Xandra had at first
= 12 u
= 12 x 42
= $504
Answer(s): $504
