Betty and Wendy went shopping. After Betty spent $55
w, Wendy had 5 times as much as Betty. If Betty had $21
w more than Wendy at first,
- Express the amount of money that Betty had at first in terms of w.
- If w = 19, find the amount of money that the two lady had left after shopping.
|
Betty |
Wendy |
Before |
1 u + $55w |
5 u |
Change |
- $55w |
|
After |
1 u |
5 u |
(a)
1 u + 55
w = 5 u + 21
w5 u - 1 u = 55
w - 21
w4 u = 55
w - 21
w = 34
w1 u = 34
w ÷ 4 = 8.5
w Betty's amount at first
= 1 u + 55
w = 8.5
w + 55
w = $63.5
w (b)
1 u + 5 u = 6 u
6 u = 6 x 8.5
w = 51
w Amount the two lady had left
= 51 x 19
= $969
Answer(s): (a) $63.5
w; (b) $969