PSLESarah and Yen went shopping together with a total amount of $105.60. Sarah spent 2 times as much as Yen. The amount Yen had left was $29 more than what she had spent. She had 2 times as much money left as Sarah.
(a) How much money did Yen spend?
(b) How much money did Sarah have at first?
|
Sarah |
Yen |
Total |
Before |
2.5 u + 14.5 |
2 u + 29 |
105.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14.5 |
1 u + 29 |
|
(a)
Total amount that Sarah and Yen had at first
= (2.5 u + 14.5) + (2 u + 29)
= 2.5 u + 2 u + 14.5 + 29
= 4.5 u + 43.5
4.5 u + 43.5 = 105.6
4.5 u = 105.6 - 43.5
4.5 u = 62.1
1 u = 62.1 ÷ 4.5 = 13.8
Amount that Yen had at first
= 1 u
= $13.80
(b)
Amount that Sarah had at first
= 2.5 u + 14.5
= (2.5 x 13.8) + 14.5
= 34.5 + 14.5
= $49
Answer(s): (a) $13.80; (b) $49