Shiyun and Betty went shopping. After Shiyun spent $72
w, Betty had 5 times as much as Shiyun. If Shiyun had $30
w more than Betty at first,
- Express the amount of money that Shiyun had at first in terms of w.
- If w = 38, find the amount of money that the two women had left after shopping.
|
Shiyun |
Betty |
Before |
1 u + $72w |
5 u |
Change |
- $72w |
|
After |
1 u |
5 u |
(a)
1 u + 72
w = 5 u + 30
w5 u - 1 u = 72
w - 30
w4 u = 72
w - 30
w = 42
w1 u = 42
w ÷ 4 = 10.5
w Shiyun's amount at first
= 1 u + 72
w = 10.5
w + 72
w = $82.5
w (b)
1 u + 5 u = 6 u
6 u = 6 x 10.5
w = 63
w Amount the two women had left
= 63 x 38
= $2394
Answer(s): (a) $82.5
w; (b) $2394