35 of Eva's money was equal to
12 of Shannon's money at first. After Eva spent $24 and Shannon spent
13 of her money, Eva had
12 as much money as Shannon.
- How much money did Shannon have at first?
- How much money did Shannon have in the end?
| |
Eva |
Shannon |
Comparing Eva
and Shannon at first |
5x1 =
5 u |
6x1 =
6 u |
| Before |
|
3x2 =
6 u |
| Change |
- $24 |
- 1x2 =
- 2 u |
| After |
|
2x2 =
4 u |
Comparing Eva
and Shannon in the end |
1x2 =
2 u |
2x2 =
4 u |
35 Eva's money =
12 Shannon's money
Make numerators the same.
35 Eva's money =
1x32x3 Shannon's money
35 Eva's money =
36 Shannon's money
Eva's money : Shannon's money = 5 : 6
The amount that Shannon had at first is repeated. Make the amount that Shannon had at first the same. LCM of 6 and 3 is 6.
Amount that Eva spent
= 5 u - 2 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
(a)
Amount that Shannon had at first
= 6 u
= 6 x 8
= $48
(b)
Amount that Shannon had in the end
= 4 u
= 4 x 8
= $32
Answer(s): (a) $48; (b) $32
