13 of Pamela's money was equal to
15 of Cindy's money at first. After Pamela spent $44 and Cindy spent
13 of her money, Pamela had
12 as much money as Cindy.
- How much money did Cindy have at first?
- How much money did Cindy have in the end?
| |
Pamela |
Cindy |
Comparing Pamela
and Cindy at first |
3x3 =
9 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $44 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Pamela
and Cindy in the end |
1x5 =
5 u |
2x5 =
10 u |
13 Pamela's money =
15 Cindy's money
Make numerators the same.
13 Pamela's money =
1x15x1 Cindy's money
13 Pamela's money =
15 Cindy's money
Pamela's money : Cindy's money = 3 : 5
The amount that Cindy had at first is repeated. Make the amount that Cindy had at first the same. LCM of 5 and 3 is 15.
Amount that Pamela spent
= 9 u - 5 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
(a)
Amount that Cindy had at first
= 15 u
= 15 x 11
= $165
(b)
Amount that Cindy had in the end
= 10 u
= 10 x 11
= $110
Answer(s): (a) $165; (b) $110
