PSLEIvory and Min went shopping together with a total amount of $141.60. Ivory spent 2 times as much as Min. The amount Min had left was $35 more than what she had spent. She had 2 times as much money left as Ivory.
(a) How much money did Min spend?
(b) How much money did Ivory have at first?
|
Ivory |
Min |
Total |
Before |
2.5 u + 17.5 |
2 u + 35 |
141.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17.5 |
1 u + 35 |
|
(a)
Total amount that Ivory and Min 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 = 141.6
4.5 u = 141.6 - 52.5
4.5 u = 89.1
1 u = 89.1 ÷ 4.5 = 19.8
Amount that Min had at first
= 1 u
= $19.80
(b)
Amount that Ivory had at first
= 2.5 u + 17.5
= (2.5 x 19.8) + 17.5
= 49.5 + 17.5
= $67
Answer(s): (a) $19.80; (b) $67