PSLEWinnie and Xandra went shopping together with a total amount of $102.60. Winnie spent 2 times as much as Xandra. The amount Xandra had left was $21 more than what she had spent. She had 2 times as much money left as Winnie.
(a) How much money did Xandra spend?
(b) How much money did Winnie have at first?
|
Winnie |
Xandra |
Total |
Before |
2.5 u + 10.5 |
2 u + 21 |
102.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10.5 |
1 u + 21 |
|
(a)
Total amount that Winnie and Xandra had at first
= (2.5 u + 10.5) + (2 u + 21)
= 2.5 u + 2 u + 10.5 + 21
= 4.5 u + 31.5
4.5 u + 31.5 = 102.6
4.5 u = 102.6 - 31.5
4.5 u = 71.1
1 u = 71.1 ÷ 4.5 = 15.8
Amount that Xandra had at first
= 1 u
= $15.80
(b)
Amount that Winnie had at first
= 2.5 u + 10.5
= (2.5 x 15.8) + 10.5
= 39.5 + 10.5
= $50
Answer(s): (a) $15.80; (b) $50