PSLEXandra and Gillian went shopping together with a total amount of $110.40. Xandra spent 2 times as much as Gillian. The amount Gillian had left was $34 more than what she had spent. She had 2 times as much money left as Xandra.
(a) How much money did Gillian spend?
(b) How much money did Xandra have at first?
|
Xandra |
Gillian |
Total |
Before |
2.5 u + 17 |
2 u + 34 |
110.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17 |
1 u + 34 |
|
(a)
Total amount that Xandra and Gillian had at first
= (2.5 u + 17) + (2 u + 34)
= 2.5 u + 2 u + 17 + 34
= 4.5 u + 51
4.5 u + 51 = 110.4
4.5 u = 110.4 - 51
4.5 u = 59.4
1 u = 59.4 ÷ 4.5 = 13.2
Amount that Gillian had at first
= 1 u
= $13.20
(b)
Amount that Xandra had at first
= 2.5 u + 17
= (2.5 x 13.2) + 17
= 33 + 17
= $50
Answer(s): (a) $13.20; (b) $50