PSLELinda and Yoko went shopping together with a total amount of $100.80. Linda spent 2 times as much as Yoko. The amount Yoko had left was $27 more than what she had spent. She had 2 times as much money left as Linda.
(a) How much money did Yoko spend?
(b) How much money did Linda have at first?
|
Linda |
Yoko |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
100.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Linda and Yoko had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 100.8
4.5 u = 100.8 - 40.5
4.5 u = 60.3
1 u = 60.3 ÷ 4.5 = 13.4
Amount that Yoko had at first
= 1 u
= $13.40
(b)
Amount that Linda had at first
= 2.5 u + 13.5
= (2.5 x 13.4) + 13.5
= 33.5 + 13.5
= $47
Answer(s): (a) $13.40; (b) $47