Cathy and Kimberly went shopping. After Cathy spent $74
w, Kimberly had 4 times as much as Cathy. If Cathy had $26
w more than Kimberly at first,
- Express the amount of money that Cathy had at first in terms of w.
- If w = 17, find the amount of money that the two lady had left after shopping.
|
Cathy |
Kimberly |
Before |
1 u + $74w |
4 u |
Change |
- $74w |
|
After |
1 u |
4 u |
(a)
1 u + 74
w = 4 u + 26
w4 u - 1 u = 74
w - 26
w3 u = 74
w - 26
w = 48
w1 u = 48
w ÷ 3 = 16
w Cathy's amount at first
= 1 u + 74
w = 16
w + 74
w = $90
w (b)
1 u + 4 u = 5 u
5 u = 5 x 16
w = 80
w Amount the two lady had left
= 80 x 17
= $1360
Answer(s): (a) $90
w; (b) $1360