45 Cathy's money was equal to
23 of Barbara's money at first. After Cathy spent $2.20 and Barbara spent $0.70, Cathy had
34 as much money as Barbara.
- How much did Barbara have at first? Express your answer in 2 decimal places.
- How much did Cathy have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Cathy
(1) |
Barbara
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.8 |
- 2.2 |
- 0.7 |
- 2.1 |
| After |
12 p |
3 p |
4p |
12 p |
45 Cathy's money =
23 Barbara's money
45 Cathy's money =
46 Barbara's money
Cathy's money : Barbara's money = 5 : 6
(3) = (4)
20 u - 8.8 = 18 u - 2.1
20 u - 18 u = 8.8 - 2.1
2 u = 6.7
1 u = 3.35
Amount Barbara has at first
= 6 u
= 6 x 3.35
= 20.1 (a)
Amount Cathy has in the end
= 5 u - 2.2
= (5 x 3.35) - 2.2
= 14.55 (b)
Answers: (a) $20.10; (b) $14.55
