PSLEWinnie and Elyse went shopping together with a total amount of $106.80. Winnie spent 2 times as much as Elyse. The amount Elyse had left was $25 more than what she had spent. She had 2 times as much money left as Winnie.
(a) How much money did Elyse spend?
(b) How much money did Winnie have at first?
|
Winnie |
Elyse |
Total |
Before |
2.5 u + 12.5 |
2 u + 25 |
106.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12.5 |
1 u + 25 |
|
(a)
Total amount that Winnie and Elyse had at first
= (2.5 u + 12.5) + (2 u + 25)
= 2.5 u + 2 u + 12.5 + 25
= 4.5 u + 37.5
4.5 u + 37.5 = 106.8
4.5 u = 106.8 - 37.5
4.5 u = 69.3
1 u = 69.3 ÷ 4.5 = 15.4
Amount that Elyse had at first
= 1 u
= $15.40
(b)
Amount that Winnie had at first
= 2.5 u + 12.5
= (2.5 x 15.4) + 12.5
= 38.5 + 12.5
= $51
Answer(s): (a) $15.40; (b) $51