PSLEMin and Penelope went shopping together with a total amount of $127.20. Min spent 2 times as much as Penelope. The amount Penelope had left was $35 more than what she had spent. She had 2 times as much money left as Min.
(a) How much money did Penelope spend?
(b) How much money did Min have at first?
|
Min |
Penelope |
Total |
Before |
2.5 u + 17.5 |
2 u + 35 |
127.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17.5 |
1 u + 35 |
|
(a)
Total amount that Min and Penelope had at first
= (2.5 u + 17.5) + (2 u + 35)
= 2.5 u + 2 u + 17.5 + 35
= 4.5 u + 52.5
4.5 u + 52.5 = 127.2
4.5 u = 127.2 - 52.5
4.5 u = 74.7
1 u = 74.7 ÷ 4.5 = 16.6
Amount that Penelope had at first
= 1 u
= $16.60
(b)
Amount that Min had at first
= 2.5 u + 17.5
= (2.5 x 16.6) + 17.5
= 41.5 + 17.5
= $59
Answer(s): (a) $16.60; (b) $59