25 of Abi's money was equal to
12 of Eva's money at first. After Abi spent $66 and Eva spent
13 of her money, Abi had
12 as much money as Eva.
- How much money did Eva have at first?
- How much money did Eva have in the end?
| |
Abi |
Eva |
Comparing Abi
and Eva at first |
5x3 =
15 u |
4x3 =
12 u |
| Before |
|
3x4 =
12 u |
| Change |
- $66 |
- 1x4 =
- 4 u |
| After |
|
2x4 =
8 u |
Comparing Abi
and Eva in the end |
1x4 =
4 u |
2x4 =
8 u |
25 Abi's money =
12 Eva's money
Make numerators the same.
25 Abi's money =
1x22x2 Eva's money
25 Abi's money =
24 Eva's money
Abi's money : Eva's money = 5 : 4
The amount that Eva had at first is repeated. Make the amount that Eva had at first the same. LCM of 4 and 3 is 12.
Amount that Abi spent
= 15 u - 4 u
= 11 u
11 u = 66
1 u = 66 ÷ 11 = 6
(a)
Amount that Eva had at first
= 12 u
= 12 x 6
= $72
(b)
Amount that Eva had in the end
= 8 u
= 8 x 6
= $48
Answer(s): (a) $72; (b) $48
