PSLEMarion and Ivory went shopping together with a total amount of $94.20. Marion spent 2 times as much as Ivory. The amount Ivory had left was $31 more than what she had spent. She had 2 times as much money left as Marion.
(a) How much money did Ivory spend?
(b) How much money did Marion have at first?
|
Marion |
Ivory |
Total |
Before |
2.5 u + 15.5 |
2 u + 31 |
94.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 15.5 |
1 u + 31 |
|
(a)
Total amount that Marion and Ivory had at first
= (2.5 u + 15.5) + (2 u + 31)
= 2.5 u + 2 u + 15.5 + 31
= 4.5 u + 46.5
4.5 u + 46.5 = 94.2
4.5 u = 94.2 - 46.5
4.5 u = 47.7
1 u = 47.7 ÷ 4.5 = 10.6
Amount that Ivory had at first
= 1 u
= $10.60
(b)
Amount that Marion had at first
= 2.5 u + 15.5
= (2.5 x 10.6) + 15.5
= 26.5 + 15.5
= $42
Answer(s): (a) $10.60; (b) $42