Elyse and Cathy went shopping. After Elyse spent $53
c, Cathy had 3 times as much as Elyse. If Elyse had $26
c more than Cathy at first,
- Express the amount of money that Elyse had at first in terms of c.
- If c = 32, find the amount of money that the two lady had left after shopping.
|
Elyse |
Cathy |
Before |
1 u + $53c |
3 u |
Change |
- $53c |
|
After |
1 u |
3 u |
(a)
1 u + 53
c = 3 u + 26
c3 u - 1 u = 53
c - 26
c2 u = 53
c - 26
c = 27
c1 u = 27
c ÷ 2 = 13.5
c Elyse's amount at first
= 1 u + 53
c = 13.5
c + 53
c = $66.5
c (b)
1 u + 3 u = 4 u
4 u = 4 x 13.5
c = 54
c Amount the two lady had left
= 54 x 32
= $1728
Answer(s): (a) $66.5
c; (b) $1728