35 of Gem's money was equal to
12 of Gabby's money at first. After Gem spent $228 and Gabby spent
35 of her money, Gem had
12 as much money as Gabby.
- How much money did Gabby have at first?
- How much money did Gabby have in the end?
| |
Gem |
Gabby |
Comparing Gem
and Gabby at first |
5x5 =
25 u |
6x5 =
30 u |
| Before |
|
5x6 =
30 u |
| Change |
- $228 |
- 3x6 =
- 18 u |
| After |
|
2x6 =
12 u |
Comparing Gem
and Gabby in the end |
1x6 =
6 u |
2x6 =
12 u |
35 Gem's money =
12 Gabby's money
Make numerators the same.
35 Gem's money =
1x32x3 Gabby's money
35 Gem's money =
36 Gabby's money
Gem's money : Gabby's money = 5 : 6
The amount that Gabby had at first is repeated. Make the amount that Gabby had at first the same. LCM of 6 and 5 is 30.
Amount that Gem spent
= 25 u - 6 u
= 19 u
19 u = 228
1 u = 228 ÷ 19 = 12
(a)
Amount that Gabby had at first
= 30 u
= 30 x 12
= $360
(b)
Amount that Gabby had in the end
= 12 u
= 12 x 12
= $144
Answer(s): (a) $360; (b) $144
