Shiyun and Cathy went shopping. After Shiyun spent $65
c, Cathy had 5 times as much as Shiyun. If Shiyun had $23
c more than Cathy at first,
- Express the amount of money that Shiyun had at first in terms of c.
- If c = 33, find the amount of money that the two women had left after shopping.
|
Shiyun |
Cathy |
Before |
1 u + $65c |
5 u |
Change |
- $65c |
|
After |
1 u |
5 u |
(a)
1 u + 65
c = 5 u + 23
c5 u - 1 u = 65
c - 23
c4 u = 65
c - 23
c = 42
c1 u = 42
c ÷ 4 = 10.5
c Shiyun's amount at first
= 1 u + 65
c = 10.5
c + 65
c = $75.5
c (b)
1 u + 5 u = 6 u
6 u = 6 x 10.5
c = 63
c Amount the two women had left
= 63 x 33
= $2079
Answer(s): (a) $75.5
c; (b) $2079