PSLEJean and Gillian went shopping together with a total amount of $73.20. Jean spent 2 times as much as Gillian. The amount Gillian had left was $11 more than what she had spent. She had 2 times as much money left as Jean.
(a) How much money did Gillian spend?
(b) How much money did Jean have at first?
|
Jean |
Gillian |
Total |
Before |
2.5 u + 5.5 |
2 u + 11 |
73.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 5.5 |
1 u + 11 |
|
(a)
Total amount that Jean and Gillian had at first
= (2.5 u + 5.5) + (2 u + 11)
= 2.5 u + 2 u + 5.5 + 11
= 4.5 u + 16.5
4.5 u + 16.5 = 73.2
4.5 u = 73.2 - 16.5
4.5 u = 56.7
1 u = 56.7 ÷ 4.5 = 12.6
Amount that Gillian had at first
= 1 u
= $12.60
(b)
Amount that Jean had at first
= 2.5 u + 5.5
= (2.5 x 12.6) + 5.5
= 31.5 + 5.5
= $37
Answer(s): (a) $12.60; (b) $37