Emma and Cathy went shopping. After Emma spent $95
c, Cathy had 5 times as much as Emma. If Emma had $29
c more than Cathy at first,
- Express the amount of money that Emma had at first in terms of c.
- If c = 22, find the amount of money that the two women had left after shopping.
|
Emma |
Cathy |
Before |
1 u + $95c |
5 u |
Change |
- $95c |
|
After |
1 u |
5 u |
(a)
1 u + 95
c = 5 u + 29
c5 u - 1 u = 95
c - 29
c4 u = 95
c - 29
c = 66
c1 u = 66
c ÷ 4 = 16.5
c Emma's amount at first
= 1 u + 95
c = 16.5
c + 95
c = $111.5
c (b)
1 u + 5 u = 6 u
6 u = 6 x 16.5
c = 99
c Amount the two women had left
= 99 x 22
= $2178
Answer(s): (a) $111.5
c; (b) $2178