45 Barbara's money was equal to
25 of Marion's money at first. After Barbara spent $2.10 and Marion spent $0.90, Barbara had
25 as much money as Marion.
- How much did Marion have at first? Express your answer in 2 decimal places.
- How much did Barbara have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Barbara
(1) |
Marion
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 10.5 |
- 2.1 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Barbara's money =
25 Marion's money
45 Barbara's money =
410 Marion's money
Barbara's money : Marion's money = 5 : 10
(3) = (4)
25 u - 10.5 = 20 u - 1.8
25 u - 20 u = 10.5 - 1.8
5 u = 8.7
1 u = 1.74
Amount Marion has at first
= 10 u
= 10 x 1.74
= 17.4 (a)
Amount Barbara has in the end
= 5 u - 2.1
= (5 x 1.74) - 2.1
= 6.6 (b)
Answers: (a) $17.40; (b) $6.60
