Linda and Winnie went shopping. After Linda spent $82
t, Winnie had 5 times as much as Linda. If Linda had $30
t more than Winnie at first,
- Express the amount of money that Linda had at first in terms of t.
- If t = 39, find the amount of money that the two lady had left after shopping.
|
Linda |
Winnie |
Before |
1 u + $82t |
5 u |
Change |
- $82t |
|
After |
1 u |
5 u |
(a)
1 u + 82
t = 5 u + 30
t5 u - 1 u = 82
t - 30
t4 u = 82
t - 30
t = 52
t1 u = 52
t ÷ 4 = 13
t Linda's amount at first
= 1 u + 82
t = 13
t + 82
t = $95
t (b)
1 u + 5 u = 6 u
6 u = 6 x 13
t = 78
t Amount the two lady had left
= 78 x 39
= $3042
Answer(s): (a) $95
t; (b) $3042