25 of Eva's money was equal to
14 of Gabby's money at first. After Eva spent $204 and Gabby spent
25 of her money, Eva had
13 as much money as Gabby.
- How much money did Gabby have at first?
- How much money did Gabby have in the end?
| |
Eva |
Gabby |
Comparing Eva
and Gabby at first |
5x5 =
25 u |
8x5 =
40 u |
| Before |
|
5x8 =
40 u |
| Change |
- $204 |
- 2x8 =
- 16 u |
| After |
|
3x8 =
24 u |
Comparing Eva
and Gabby in the end |
1x8 =
8 u |
3x8 =
24 u |
25 Eva's money =
14 Gabby's money
Make numerators the same.
25 Eva's money =
1x24x2 Gabby's money
25 Eva's money =
28 Gabby's money
Eva's money : Gabby's money = 5 : 8
The amount that Gabby had at first is repeated. Make the amount that Gabby had at first the same. LCM of 8 and 5 is 40.
Amount that Eva spent
= 25 u - 8 u
= 17 u
17 u = 204
1 u = 204 ÷ 17 = 12
(a)
Amount that Gabby had at first
= 40 u
= 40 x 12
= $480
(b)
Amount that Gabby had in the end
= 24 u
= 24 x 12
= $288
Answer(s): (a) $480; (b) $288
