Jane and Cathy went shopping. After Jane spent $70
c, Cathy had 5 times as much as Jane. If Jane had $26
c more than Cathy at first,
- Express the amount of money that Jane had at first in terms of c.
- If c = 19, find the amount of money that the two lady had left after shopping.
|
Jane |
Cathy |
Before |
1 u + $70c |
5 u |
Change |
- $70c |
|
After |
1 u |
5 u |
(a)
1 u + 70
c = 5 u + 26
c5 u - 1 u = 70
c - 26
c4 u = 70
c - 26
c = 44
c1 u = 44
c ÷ 4 = 11
c Jane's amount at first
= 1 u + 70
c = 11
c + 70
c = $81
c (b)
1 u + 5 u = 6 u
6 u = 6 x 11
c = 66
c Amount the two lady had left
= 66 x 19
= $1254
Answer(s): (a) $81
c; (b) $1254