PSLEShannon and Gwen went shopping together with a total amount of $89.40. Shannon spent 2 times as much as Gwen. The amount Gwen had left was $20 more than what she had spent. She had 2 times as much money left as Shannon.
(a) How much money did Gwen spend?
(b) How much money did Shannon have at first?
|
Shannon |
Gwen |
Total |
Before |
2.5 u + 10 |
2 u + 20 |
89.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10 |
1 u + 20 |
|
(a)
Total amount that Shannon and Gwen had at first
= (2.5 u + 10) + (2 u + 20)
= 2.5 u + 2 u + 10 + 20
= 4.5 u + 30
4.5 u + 30 = 89.4
4.5 u = 89.4 - 30
4.5 u = 59.4
1 u = 59.4 ÷ 4.5 = 13.2
Amount that Gwen had at first
= 1 u
= $13.20
(b)
Amount that Shannon had at first
= 2.5 u + 10
= (2.5 x 13.2) + 10
= 33 + 10
= $43
Answer(s): (a) $13.20; (b) $43