45 Cathy's money was equal to
23 of Anna's money at first. After Cathy spent $2.10 and Anna spent $0.80, Cathy had
34 as much money as Anna.
- How much did Anna have at first? Express your answer in 2 decimal places.
- How much did Cathy have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Cathy (1) |
Anna (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 8.4 |
- 2.1 |
- 0.8 |
- 2.4 |
After |
12 p |
3 p |
4p |
12 p |
45 Cathy's money =
23 Anna's money
45 Cathy's money =
46 Anna's money
Cathy's money : Anna's money = 5 : 6
(3) = (4)
20 u - 8.4 = 18 u - 2.4
20 u - 18 u = 8.4 - 2.4
2 u = 6
1 u = 3
Amount Anna has at first
= 6 u
= 6 x 3
= 18 (a)
Amount Cathy has in the end
= 5 u - 2.1
= (5 x 3) - 2.1
= 12.9 (b)
Answers: (a) $18.00; (b) $12.90