45 Mary's money was equal to
23 of Emily's money at first. After Mary spent $1.70 and Emily spent $0.60, Mary had
23 as much money as Emily.
- How much did Emily 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)x3 |
Mary (1) |
Emily (2) |
Make p the same (4)x2 |
Before |
15 u |
5 u |
6 u |
12 u |
Change |
- 5.1 |
- 1.7 |
- 0.6 |
- 1.2 |
After |
6 p |
2 p |
3p |
6 p |
45 Mary's money =
23 Emily's money
45 Mary's money =
46 Emily's money
Mary's money : Emily's money = 5 : 6
(3) = (4)
15 u - 5.1 = 12 u - 1.2
15 u - 12 u = 5.1 - 1.2
3 u = 3.9
1 u = 1.3
Amount Emily has at first
= 6 u
= 6 x 1.3
= 7.8 (a)
Amount Mary has in the end
= 5 u - 1.7
= (5 x 1.3) - 1.7
= 4.8 (b)
Answers: (a) $7.80; (b) $4.80