35 of Jean's money was equal to
14 of Xuan's money at first. After Jean spent $39 and Xuan spent
35 of her money, Jean had
12 as much money as Xuan.
- How much money did Xuan have at first?
- How much money did Xuan have in the end?
| |
Jean |
Xuan |
Comparing Jean
and Xuan at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $39 |
- 3x12 =
- 36 u |
| After |
|
2x12 =
24 u |
Comparing Jean
and Xuan in the end |
1x12 =
12 u |
2x12 =
24 u |
35 Jean's money =
14 Xuan's money
Make numerators the same.
35 Jean's money =
1x34x3 Xuan's money
35 Jean's money =
312 Xuan's money
Jean's money : Xuan's money = 5 : 12
The amount that Xuan had at first is repeated. Make the amount that Xuan had at first the same. LCM of 12 and 5 is 60.
Amount that Jean spent
= 25 u - 12 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
(a)
Amount that Xuan had at first
= 60 u
= 60 x 3
= $180
(b)
Amount that Xuan had in the end
= 24 u
= 24 x 3
= $72
Answer(s): (a) $180; (b) $72
