Jean and Sabrina went shopping. After Jean spent $62
r, Sabrina had 4 times as much as Jean. If Jean had $23
r more than Sabrina at first,
- Express the amount of money that Jean had at first in terms of r.
- If r = 22, find the amount of money that the two lady had left after shopping.
|
Jean |
Sabrina |
Before |
1 u + $62r |
4 u |
Change |
- $62r |
|
After |
1 u |
4 u |
(a)
1 u + 62
r = 4 u + 23
r4 u - 1 u = 62
r - 23
r3 u = 62
r - 23
r = 39
r1 u = 39
r ÷ 3 = 13
r Jean's amount at first
= 1 u + 62
r = 13
r + 62
r = $75
r (b)
1 u + 4 u = 5 u
5 u = 5 x 13
r = 65
r Amount the two lady had left
= 65 x 22
= $1430
Answer(s): (a) $75
r; (b) $1430