Betty and Xylium went shopping. After Betty spent $63
v, Xylium had 5 times as much as Betty. If Betty had $23
v more than Xylium at first,
- Express the amount of money that Betty had at first in terms of v.
- If v = 39, find the amount of money that the two women had left after shopping.
|
Betty |
Xylium |
Before |
1 u + $63v |
5 u |
Change |
- $63v |
|
After |
1 u |
5 u |
(a)
1 u + 63
v = 5 u + 23
v5 u - 1 u = 63
v - 23
v4 u = 63
v - 23
v = 40
v1 u = 40
v ÷ 4 = 10
v Betty's amount at first
= 1 u + 63
v = 10
v + 63
v = $73
v (b)
1 u + 5 u = 6 u
6 u = 6 x 10
v = 60
v Amount the two women had left
= 60 x 39
= $2340
Answer(s): (a) $73
v; (b) $2340