45 Gwen's money was equal to
23 of Jen's money at first. After Gwen spent $2.10 and Jen spent $0.90, Gwen had
34 as much money as Jen.
- How much did Jen have at first? Express your answer in 2 decimal places.
- How much did Gwen have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Gwen
(1) |
Jen
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.4 |
- 2.1 |
- 0.9 |
- 2.7 |
| After |
12 p |
3 p |
4p |
12 p |
45 Gwen's money =
23 Jen's money
45 Gwen's money =
46 Jen's money
Gwen's money : Jen's money = 5 : 6
(3) = (4)
20 u - 8.4 = 18 u - 2.7
20 u - 18 u = 8.4 - 2.7
2 u = 5.7
1 u = 2.85
Amount Jen has at first
= 6 u
= 6 x 2.85
= 17.1 (a)
Amount Gwen has in the end
= 5 u - 2.1
= (5 x 2.85) - 2.1
= 12.15 (b)
Answers: (a) $17.10; (b) $12.15
