45 Jen's money was equal to
25 of Kathy's money at first. After Jen spent $2.30 and Kathy spent $0.80, Jen had
25 as much money as Kathy.
- How much did Kathy have at first? Express your answer in 2 decimal places.
- How much did Jen have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Jen
(1) |
Kathy
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 11.5 |
- 2.3 |
- 0.8 |
- 1.6 |
| After |
10 p |
2 p |
5p |
10 p |
45 Jen's money =
25 Kathy's money
45 Jen's money =
410 Kathy's money
Jen's money : Kathy's money = 5 : 10
(3) = (4)
25 u - 11.5 = 20 u - 1.6
25 u - 20 u = 11.5 - 1.6
5 u = 9.9
1 u = 1.98
Amount Kathy has at first
= 10 u
= 10 x 1.98
= 19.8 (a)
Amount Jen has in the end
= 5 u - 2.3
= (5 x 1.98) - 2.3
= 7.6 (b)
Answers: (a) $19.80; (b) $7.60
