35 of Gem's money was equal to
13 of Kimberly's money at first. After Gem spent $32 and Kimberly spent
35 of her money, Gem had
12 as much money as Kimberly.
- How much money did Kimberly have at first?
- How much money did Kimberly have in the end?
| |
Gem |
Kimberly |
Comparing Gem
and Kimberly at first |
5x5 =
25 u |
9x5 =
45 u |
| Before |
|
5x9 =
45 u |
| Change |
- $32 |
- 3x9 =
- 27 u |
| After |
|
2x9 =
18 u |
Comparing Gem
and Kimberly in the end |
1x9 =
9 u |
2x9 =
18 u |
35 Gem's money =
13 Kimberly's money
Make numerators the same.
35 Gem's money =
1x33x3 Kimberly's money
35 Gem's money =
39 Kimberly's money
Gem's money : Kimberly's money = 5 : 9
The amount that Kimberly had at first is repeated. Make the amount that Kimberly had at first the same. LCM of 9 and 5 is 45.
Amount that Gem spent
= 25 u - 9 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
(a)
Amount that Kimberly had at first
= 45 u
= 45 x 2
= $90
(b)
Amount that Kimberly had in the end
= 18 u
= 18 x 2
= $36
Answer(s): (a) $90; (b) $36
