35 of Ivory's money was equal to
14 of Raeann's money at first. After Ivory spent $143 and Raeann spent
25 of her money, Ivory had
13 as much money as Raeann.
- How much money did Raeann have at first?
- How much money did Raeann have in the end?
| |
Ivory |
Raeann |
Comparing Ivory
and Raeann at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $143 |
- 2x12 =
- 24 u |
| After |
|
3x12 =
36 u |
Comparing Ivory
and Raeann in the end |
1x12 =
12 u |
3x12 =
36 u |
35 Ivory's money =
14 Raeann's money
Make numerators the same.
35 Ivory's money =
1x34x3 Raeann's money
35 Ivory's money =
312 Raeann's money
Ivory's money : Raeann's money = 5 : 12
The amount that Raeann had at first is repeated. Make the amount that Raeann had at first the same. LCM of 12 and 5 is 60.
Amount that Ivory spent
= 25 u - 12 u
= 13 u
13 u = 143
1 u = 143 ÷ 13 = 11
(a)
Amount that Raeann had at first
= 60 u
= 60 x 11
= $660
(b)
Amount that Raeann had in the end
= 36 u
= 36 x 11
= $396
Answer(s): (a) $660; (b) $396
