45 Mary's money was equal to
23 of Diana's money at first. After Mary spent $2.20 and Diana spent $0.90, Mary had
34 as much money as Diana.
- How much did Diana have at first? Express your answer in 2 decimal places.
- How much did Mary have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Mary
(1) |
Diana
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.8 |
- 2.2 |
- 0.9 |
- 2.7 |
| After |
12 p |
3 p |
4p |
12 p |
45 Mary's money =
23 Diana's money
45 Mary's money =
46 Diana's money
Mary's money : Diana's money = 5 : 6
(3) = (4)
20 u - 8.8 = 18 u - 2.7
20 u - 18 u = 8.8 - 2.7
2 u = 6.1
1 u = 3.05
Amount Diana has at first
= 6 u
= 6 x 3.05
= 18.3 (a)
Amount Mary has in the end
= 5 u - 2.2
= (5 x 3.05) - 2.2
= 13.05 (b)
Answers: (a) $18.30; (b) $13.05
