Vanessa and Wendy went shopping. After Vanessa spent $90
v, Wendy had 4 times as much as Vanessa. If Vanessa had $27
v more than Wendy at first,
- Express the amount of money that Vanessa had at first in terms of v.
- If v = 17, find the amount of money that the two lady had left after shopping.
|
Vanessa |
Wendy |
Before |
1 u + $90v |
4 u |
Change |
- $90v |
|
After |
1 u |
4 u |
(a)
1 u + 90
v = 4 u + 27
v4 u - 1 u = 90
v - 27
v3 u = 90
v - 27
v = 63
v1 u = 63
v ÷ 3 = 21
v Vanessa's amount at first
= 1 u + 90
v = 21
v + 90
v = $111
v (b)
1 u + 4 u = 5 u
5 u = 5 x 21
v = 105
v Amount the two lady had left
= 105 x 17
= $1785
Answer(s): (a) $111
v; (b) $1785