Winnie and Julie went shopping. After Winnie spent $54
n, Julie had 4 times as much as Winnie. If Winnie had $21
n more than Julie at first,
- Express the amount of money that Winnie had at first in terms of n.
- If n = 36, find the amount of money that the two women had left after shopping.
|
Winnie |
Julie |
Before |
1 u + $54n |
4 u |
Change |
- $54n |
|
After |
1 u |
4 u |
(a)
1 u + 54
n = 4 u + 21
n4 u - 1 u = 54
n - 21
n3 u = 54
n - 21
n = 33
n1 u = 33
n ÷ 3 = 11
n Winnie's amount at first
= 1 u + 54
n = 11
n + 54
n = $65
n (b)
1 u + 4 u = 5 u
5 u = 5 x 11
n = 55
n Amount the two women had left
= 55 x 36
= $1980
Answer(s): (a) $65
n; (b) $1980