PSLEPenelope and Gillian went shopping together with a total amount of $118.80. Penelope spent 2 times as much as Gillian. The amount Gillian had left was $24 more than what she had spent. She had 2 times as much money left as Penelope.
(a) How much money did Gillian spend?
(b) How much money did Penelope have at first?
|
Penelope |
Gillian |
Total |
Before |
2.5 u + 12 |
2 u + 24 |
118.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12 |
1 u + 24 |
|
(a)
Total amount that Penelope and Gillian had at first
= (2.5 u + 12) + (2 u + 24)
= 2.5 u + 2 u + 12 + 24
= 4.5 u + 36
4.5 u + 36 = 118.8
4.5 u = 118.8 - 36
4.5 u = 82.8
1 u = 82.8 ÷ 4.5 = 18.4
Amount that Gillian had at first
= 1 u
= $18.40
(b)
Amount that Penelope had at first
= 2.5 u + 12
= (2.5 x 18.4) + 12
= 46 + 12
= $58
Answer(s): (a) $18.40; (b) $58