Tammy and Esther went shopping. After Tammy spent $91
w, Esther had 5 times as much as Tammy. If Tammy had $21
w more than Esther at first,
- Express the amount of money that Tammy had at first in terms of w.
- If w = 19, find the amount of money that the two women had left after shopping.
|
Tammy |
Esther |
Before |
1 u + $91w |
5 u |
Change |
- $91w |
|
After |
1 u |
5 u |
(a)
1 u + 91
w = 5 u + 21
w5 u - 1 u = 91
w - 21
w4 u = 91
w - 21
w = 70
w1 u = 70
w ÷ 4 = 17.5
w Tammy's amount at first
= 1 u + 91
w = 17.5
w + 91
w = $108.5
w (b)
1 u + 5 u = 6 u
6 u = 6 x 17.5
w = 105
w Amount the two women had left
= 105 x 19
= $1995
Answer(s): (a) $108.5
w; (b) $1995