Vanessa and Risa went shopping. After Vanessa spent $86
r, Risa had 5 times as much as Vanessa. If Vanessa had $22
r more than Risa at first,
- Express the amount of money that Vanessa had at first in terms of r.
- If r = 22, find the amount of money that the two lady had left after shopping.
|
Vanessa |
Risa |
Before |
1 u + $86r |
5 u |
Change |
- $86r |
|
After |
1 u |
5 u |
(a)
1 u + 86
r = 5 u + 22
r5 u - 1 u = 86
r - 22
r4 u = 86
r - 22
r = 64
r1 u = 64
r ÷ 4 = 16
r Vanessa's amount at first
= 1 u + 86
r = 16
r + 86
r = $102
r (b)
1 u + 5 u = 6 u
6 u = 6 x 16
r = 96
r Amount the two lady had left
= 96 x 22
= $2112
Answer(s): (a) $102
r; (b) $2112