Marion and Kylie went shopping. After Marion spent $83
r, Kylie had 3 times as much as Marion. If Marion had $27
r more than Kylie at first,
- Express the amount of money that Marion had at first in terms of r.
- If r = 36, find the amount of money that the two women had left after shopping.
|
Marion |
Kylie |
Before |
1 u + $83r |
3 u |
Change |
- $83r |
|
After |
1 u |
3 u |
(a)
1 u + 83
r = 3 u + 27
r3 u - 1 u = 83
r - 27
r2 u = 83
r - 27
r = 56
r1 u = 56
r ÷ 2 = 28
r Marion's amount at first
= 1 u + 83
r = 28
r + 83
r = $111
r (b)
1 u + 3 u = 4 u
4 u = 4 x 28
r = 112
r Amount the two women had left
= 112 x 36
= $4032
Answer(s): (a) $111
r; (b) $4032