PSLEGwen and Min went shopping together with a total amount of $135.60. Gwen spent 2 times as much as Min. The amount Min had left was $34 more than what she had spent. She had 2 times as much money left as Gwen.
(a) How much money did Min spend?
(b) How much money did Gwen have at first?
|
Gwen |
Min |
Total |
Before |
2.5 u + 17 |
2 u + 34 |
135.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17 |
1 u + 34 |
|
(a)
Total amount that Gwen and Min 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 = 135.6
4.5 u = 135.6 - 51
4.5 u = 84.6
1 u = 84.6 ÷ 4.5 = 18.8
Amount that Min had at first
= 1 u
= $18.80
(b)
Amount that Gwen had at first
= 2.5 u + 17
= (2.5 x 18.8) + 17
= 47 + 17
= $64
Answer(s): (a) $18.80; (b) $64