Winnie and Roshel went shopping. After Winnie spent $91
n, Roshel had 3 times as much as Winnie. If Winnie had $29
n more than Roshel at first,
- Express the amount of money that Winnie had at first in terms of n.
- If n = 39, find the amount of money that the two lady had left after shopping.
|
Winnie |
Roshel |
Before |
1 u + $91n |
3 u |
Change |
- $91n |
|
After |
1 u |
3 u |
(a)
1 u + 91
n = 3 u + 29
n3 u - 1 u = 91
n - 29
n2 u = 91
n - 29
n = 62
n1 u = 62
n ÷ 2 = 31
n Winnie's amount at first
= 1 u + 91
n = 31
n + 91
n = $122
n (b)
1 u + 3 u = 4 u
4 u = 4 x 31
n = 124
n Amount the two lady had left
= 124 x 39
= $4836
Answer(s): (a) $122
n; (b) $4836