Risa and Linda went shopping. After Risa spent $80
w, Linda had 4 times as much as Risa. If Risa had $26
w more than Linda at first,
- Express the amount of money that Risa had at first in terms of w.
- If w = 32, find the amount of money that the two women had left after shopping.
|
Risa |
Linda |
Before |
1 u + $80w |
4 u |
Change |
- $80w |
|
After |
1 u |
4 u |
(a)
1 u + 80
w = 4 u + 26
w4 u - 1 u = 80
w - 26
w3 u = 80
w - 26
w = 54
w1 u = 54
w ÷ 3 = 18
w Risa's amount at first
= 1 u + 80
w = 18
w + 80
w = $98
w (b)
1 u + 4 u = 5 u
5 u = 5 x 18
w = 90
w Amount the two women had left
= 90 x 32
= $2880
Answer(s): (a) $98
w; (b) $2880