45 Elyse's money was equal to
25 of Tina's money at first. After Elyse spent $1.70 and Tina spent $0.90, Elyse had
25 as much money as Tina.
- How much did Tina have at first? Express your answer in 2 decimal places.
- How much did Elyse have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Elyse
(1) |
Tina
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 8.5 |
- 1.7 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Elyse's money =
25 Tina's money
45 Elyse's money =
410 Tina's money
Elyse's money : Tina's money = 5 : 10
(3) = (4)
25 u - 8.5 = 20 u - 1.8
25 u - 20 u = 8.5 - 1.8
5 u = 6.7
1 u = 1.34
Amount Tina has at first
= 10 u
= 10 x 1.34
= 13.4 (a)
Amount Elyse has in the end
= 5 u - 1.7
= (5 x 1.34) - 1.7
= 5 (b)
Answers: (a) $13.40; (b) $5.00
