35 Mary's money was equal to
25 of Olivia's money at first. After Mary spent $1.80 and Olivia spent $0.80, Mary had
25 as much money as Olivia.
- How much did Olivia 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)x5 |
Mary
(1) |
Olivia
(2) |
Make p the same
(4)x2 |
| Before |
50 u |
10 u |
15 u |
30 u |
| Change |
- 9 |
- 1.8 |
- 0.8 |
- 1.6 |
| After |
10 p |
2 p |
5p |
10 p |
35 Mary's money =
25 Olivia's money
610 Mary's money =
615 Olivia's money
Mary's money : Olivia's money = 10 : 15
(3) = (4)
50 u - 9 = 30 u - 1.6
50 u - 30 u = 9 - 1.6
20 u = 7.4
1 u = 0.37
Amount Olivia has at first
= 15 u
= 15 x 0.37
= 5.55 (a)
Amount Mary has in the end
= 10 u - 1.8
= (10 x 0.37) - 1.8
= 1.9 (b)
Answers: (a) $5.55; (b) $1.90
