Betty and Julie went shopping. After Betty spent $83
c, Julie had 3 times as much as Betty. If Betty had $26
c more than Julie at first,
- Express the amount of money that Betty had at first in terms of c.
- If c = 24, find the amount of money that the two women had left after shopping.
|
Betty |
Julie |
Before |
1 u + $83c |
3 u |
Change |
- $83c |
|
After |
1 u |
3 u |
(a)
1 u + 83
c = 3 u + 26
c3 u - 1 u = 83
c - 26
c2 u = 83
c - 26
c = 57
c1 u = 57
c ÷ 2 = 28.5
c Betty's amount at first
= 1 u + 83
c = 28.5
c + 83
c = $111.5
c (b)
1 u + 3 u = 4 u
4 u = 4 x 28.5
c = 114
c Amount the two women had left
= 114 x 24
= $2736
Answer(s): (a) $111.5
c; (b) $2736