45 Betty's money was equal to
25 of Emma's money at first. After Betty spent $2.50 and Emma spent $1.10, Betty had
25 as much money as Emma.
- How much did Emma have at first? Express your answer in 2 decimal places.
- How much did Betty have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Betty
(1) |
Emma
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 12.5 |
- 2.5 |
- 1.1 |
- 2.2 |
| After |
10 p |
2 p |
5p |
10 p |
45 Betty's money =
25 Emma's money
45 Betty's money =
410 Emma's money
Betty's money : Emma's money = 5 : 10
(3) = (4)
25 u - 12.5 = 20 u - 2.2
25 u - 20 u = 12.5 - 2.2
5 u = 10.3
1 u = 2.06
Amount Emma has at first
= 10 u
= 10 x 2.06
= 20.6 (a)
Amount Betty has in the end
= 5 u - 2.5
= (5 x 2.06) - 2.5
= 7.8 (b)
Answers: (a) $20.60; (b) $7.80
