PSLEKylie and Lynn went shopping together with a total amount of $139.20. Kylie spent 2 times as much as Lynn. The amount Lynn had left was $40 more than what she had spent. She had 2 times as much money left as Kylie.
(a) How much money did Lynn spend?
(b) How much money did Kylie have at first?
|
Kylie |
Lynn |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
139.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Kylie and Lynn had at first
= (2.5 u + 20) + (2 u + 40)
= 2.5 u + 2 u + 20 + 40
= 4.5 u + 60
4.5 u + 60 = 139.2
4.5 u = 139.2 - 60
4.5 u = 79.2
1 u = 79.2 ÷ 4.5 = 17.6
Amount that Lynn had at first
= 1 u
= $17.60
(b)
Amount that Kylie had at first
= 2.5 u + 20
= (2.5 x 17.6) + 20
= 44 + 20
= $64
Answer(s): (a) $17.60; (b) $64