PSLEMarion and Penelope went shopping together with a total amount of $121.20. Marion spent 2 times as much as Penelope. The amount Penelope had left was $34 more than what she had spent. She had 2 times as much money left as Marion.
(a) How much money did Penelope spend?
(b) How much money did Marion have at first?
|
Marion |
Penelope |
Total |
Before |
2.5 u + 17 |
2 u + 34 |
121.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17 |
1 u + 34 |
|
(a)
Total amount that Marion and Penelope 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 = 121.2
4.5 u = 121.2 - 51
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Penelope had at first
= 1 u
= $15.60
(b)
Amount that Marion had at first
= 2.5 u + 17
= (2.5 x 15.6) + 17
= 39 + 17
= $56
Answer(s): (a) $15.60; (b) $56