16 of Eva's money was equal to
15 of Kathy's money at first. After Eva spent $130 and Kathy spent
13 of her money, Eva had
12 as much money as Kathy.
- How much money did Kathy have at first?
- How much money did Kathy have in the end?
| |
Eva |
Kathy |
Comparing Eva
and Kathy at first |
6x3 =
18 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $130 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Eva
and Kathy in the end |
1x5 =
5 u |
2x5 =
10 u |
16 Eva's money =
15 Kathy's money
Make numerators the same.
16 Eva's money =
1x15x1 Kathy's money
16 Eva's money =
15 Kathy's money
Eva's money : Kathy's money = 6 : 5
The amount that Kathy had at first is repeated. Make the amount that Kathy had at first the same. LCM of 5 and 3 is 15.
Amount that Eva spent
= 18 u - 5 u
= 13 u
13 u = 130
1 u = 130 ÷ 13 = 10
(a)
Amount that Kathy had at first
= 15 u
= 15 x 10
= $150
(b)
Amount that Kathy had in the end
= 10 u
= 10 x 10
= $100
Answer(s): (a) $150; (b) $100
