25 of Kathy's money was equal to
13 of Raeann's money at first. After Kathy spent $133 and Raeann spent
35 of her money, Kathy had
12 as much money as Raeann.
- How much money did Raeann have at first?
- How much money did Raeann have in the end?
| |
Kathy |
Raeann |
Comparing Kathy
and Raeann at first |
5x5 =
25 u |
6x5 =
30 u |
| Before |
|
5x6 =
30 u |
| Change |
- $133 |
- 3x6 =
- 18 u |
| After |
|
2x6 =
12 u |
Comparing Kathy
and Raeann in the end |
1x6 =
6 u |
2x6 =
12 u |
25 Kathy's money =
13 Raeann's money
Make numerators the same.
25 Kathy's money =
1x23x2 Raeann's money
25 Kathy's money =
26 Raeann's money
Kathy's money : Raeann's money = 5 : 6
The amount that Raeann had at first is repeated. Make the amount that Raeann had at first the same. LCM of 6 and 5 is 30.
Amount that Kathy spent
= 25 u - 6 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
(a)
Amount that Raeann had at first
= 30 u
= 30 x 7
= $210
(b)
Amount that Raeann had in the end
= 12 u
= 12 x 7
= $84
Answer(s): (a) $210; (b) $84
