PSLESarah and Yoko went shopping together with a total amount of $116.40. Sarah spent 2 times as much as Yoko. The amount Yoko had left was $35 more than what she had spent. She had 2 times as much money left as Sarah.
(a) How much money did Yoko spend?
(b) How much money did Sarah have at first?
|
Sarah |
Yoko |
Total |
Before |
2.5 u + 17.5 |
2 u + 35 |
116.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17.5 |
1 u + 35 |
|
(a)
Total amount that Sarah and Yoko 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 = 116.4
4.5 u = 116.4 - 52.5
4.5 u = 63.9
1 u = 63.9 ÷ 4.5 = 14.2
Amount that Yoko had at first
= 1 u
= $14.20
(b)
Amount that Sarah had at first
= 2.5 u + 17.5
= (2.5 x 14.2) + 17.5
= 35.5 + 17.5
= $53
Answer(s): (a) $14.20; (b) $53