13 of Yen's money was equal to
12 of Xuan's money at first. After Yen spent $156 and Xuan spent
35 of her money, Yen had
12 as much money as Xuan.
- How much money did Xuan have at first?
- How much money did Xuan have in the end?
| |
Yen |
Xuan |
Comparing Yen
and Xuan at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
|
5x2 =
10 u |
| Change |
- $156 |
- 3x2 =
- 6 u |
| After |
|
2x2 =
4 u |
Comparing Yen
and Xuan in the end |
1x2 =
2 u |
2x2 =
4 u |
13 Yen's money =
12 Xuan's money
Make numerators the same.
13 Yen's money =
1x12x1 Xuan's money
13 Yen's money =
12 Xuan's money
Yen's money : Xuan's money = 3 : 2
The amount that Xuan had at first is repeated. Make the amount that Xuan had at first the same. LCM of 2 and 5 is 10.
Amount that Yen spent
= 15 u - 2 u
= 13 u
13 u = 156
1 u = 156 ÷ 13 = 12
(a)
Amount that Xuan had at first
= 10 u
= 10 x 12
= $120
(b)
Amount that Xuan had in the end
= 4 u
= 4 x 12
= $48
Answer(s): (a) $120; (b) $48
