45 Shannon's money was equal to
23 of Kathy's money at first. After Shannon spent $1.60 and Kathy spent $0.60, Shannon had
23 as much money as Kathy.
- How much did Kathy have at first? Express your answer in 2 decimal places.
- How much did Shannon have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x3 |
Shannon (1) |
Kathy (2) |
Make p the same (4)x2 |
Before |
15 u |
5 u |
6 u |
12 u |
Change |
- 4.8 |
- 1.6 |
- 0.6 |
- 1.2 |
After |
6 p |
2 p |
3p |
6 p |
45 Shannon's money =
23 Kathy's money
45 Shannon's money =
46 Kathy's money
Shannon's money : Kathy's money = 5 : 6
(3) = (4)
15 u - 4.8 = 12 u - 1.2
15 u - 12 u = 4.8 - 1.2
3 u = 3.6
1 u = 1.2
Amount Kathy has at first
= 6 u
= 6 x 1.2
= 7.2 (a)
Amount Shannon has in the end
= 5 u - 1.6
= (5 x 1.2) - 1.6
= 4.4 (b)
Answers: (a) $7.20; (b) $4.40