25 of Abi's money was equal to
12 of Xuan's money at first. After Abi spent $252 and Xuan spent
25 of her money, Abi had
13 as much money as Xuan.
- How much money did Xuan have at first?
- How much money did Xuan have in the end?
| |
Abi |
Xuan |
Comparing Abi
and Xuan at first |
5x5 =
25 u |
4x5 =
20 u |
| Before |
|
5x4 =
20 u |
| Change |
- $252 |
- 2x4 =
- 8 u |
| After |
|
3x4 =
12 u |
Comparing Abi
and Xuan in the end |
1x4 =
4 u |
3x4 =
12 u |
25 Abi's money =
12 Xuan's money
Make numerators the same.
25 Abi's money =
1x22x2 Xuan's money
25 Abi's money =
24 Xuan's money
Abi's money : Xuan's money = 5 : 4
The amount that Xuan had at first is repeated. Make the amount that Xuan had at first the same. LCM of 4 and 5 is 20.
Amount that Abi spent
= 25 u - 4 u
= 21 u
21 u = 252
1 u = 252 ÷ 21 = 12
(a)
Amount that Xuan had at first
= 20 u
= 20 x 12
= $240
(b)
Amount that Xuan had in the end
= 12 u
= 12 x 12
= $144
Answer(s): (a) $240; (b) $144
