Shannon and Shiyun went shopping. After Shannon spent $94
w, Shiyun had 4 times as much as Shannon. If Shannon had $28
w more than Shiyun at first,
- Express the amount of money that Shannon had at first in terms of w.
- If w = 32, find the amount of money that the two women had left after shopping.
|
Shannon |
Shiyun |
Before |
1 u + $94w |
4 u |
Change |
- $94w |
|
After |
1 u |
4 u |
(a)
1 u + 94
w = 4 u + 28
w4 u - 1 u = 94
w - 28
w3 u = 94
w - 28
w = 66
w1 u = 66
w ÷ 3 = 22
w Shannon's amount at first
= 1 u + 94
w = 22
w + 94
w = $116
w (b)
1 u + 4 u = 5 u
5 u = 5 x 22
w = 110
w Amount the two women had left
= 110 x 32
= $3520
Answer(s): (a) $116
w; (b) $3520