PSLESarah and Ivory went shopping together with a total amount of $121.20. Sarah spent 2 times as much as Ivory. The amount Ivory had left was $40 more than what she had spent. She had 2 times as much money left as Sarah.
(a) How much money did Ivory spend?
(b) How much money did Sarah have at first?
|
Sarah |
Ivory |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
121.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Sarah and Ivory 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 = 121.2
4.5 u = 121.2 - 60
4.5 u = 61.2
1 u = 61.2 ÷ 4.5 = 13.6
Amount that Ivory had at first
= 1 u
= $13.60
(b)
Amount that Sarah had at first
= 2.5 u + 20
= (2.5 x 13.6) + 20
= 34 + 20
= $54
Answer(s): (a) $13.60; (b) $54