16 of Kylie's money was equal to
15 of Eva's money at first. After Kylie spent $104 and Eva spent
13 of her money, Kylie had
12 as much money as Eva.
- How much money did Eva have at first?
- How much money did Eva have in the end?
| |
Kylie |
Eva |
Comparing Kylie
and Eva at first |
6x3 =
18 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $104 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Kylie
and Eva in the end |
1x5 =
5 u |
2x5 =
10 u |
16 Kylie's money =
15 Eva's money
Make numerators the same.
16 Kylie's money =
1x15x1 Eva's money
16 Kylie's money =
15 Eva's money
Kylie's money : Eva's money = 6 : 5
The amount that Eva had at first is repeated. Make the amount that Eva had at first the same. LCM of 5 and 3 is 15.
Amount that Kylie spent
= 18 u - 5 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
(a)
Amount that Eva had at first
= 15 u
= 15 x 8
= $120
(b)
Amount that Eva had in the end
= 10 u
= 10 x 8
= $80
Answer(s): (a) $120; (b) $80
