Min and Diana went shopping. After Min spent $66
c, Diana had 4 times as much as Min. If Min had $27
c more than Diana at first,
- Express the amount of money that Min had at first in terms of c.
- If c = 36, find the amount of money that the two women had left after shopping.
|
Min |
Diana |
Before |
1 u + $66c |
4 u |
Change |
- $66c |
|
After |
1 u |
4 u |
(a)
1 u + 66
c = 4 u + 27
c4 u - 1 u = 66
c - 27
c3 u = 66
c - 27
c = 39
c1 u = 39
c ÷ 3 = 13
c Min's amount at first
= 1 u + 66
c = 13
c + 66
c = $79
c (b)
1 u + 4 u = 5 u
5 u = 5 x 13
c = 65
c Amount the two women had left
= 65 x 36
= $2340
Answer(s): (a) $79
c; (b) $2340