45 Gwen's money was equal to
25 of Kathy's money at first. After Gwen spent $1.90 and Kathy spent $0.90, Gwen had
25 as much money as Kathy.
- How much did Kathy 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)x5 |
Gwen
(1) |
Kathy
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 9.5 |
- 1.9 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Gwen's money =
25 Kathy's money
45 Gwen's money =
410 Kathy's money
Gwen's money : Kathy's money = 5 : 10
(3) = (4)
25 u - 9.5 = 20 u - 1.8
25 u - 20 u = 9.5 - 1.8
5 u = 7.7
1 u = 1.54
Amount Kathy has at first
= 10 u
= 10 x 1.54
= 15.4 (a)
Amount Gwen has in the end
= 5 u - 1.9
= (5 x 1.54) - 1.9
= 5.8 (b)
Answers: (a) $15.40; (b) $5.80
