Rachel and Shannon went shopping. After Rachel spent $79
r, Shannon had 5 times as much as Rachel. If Rachel had $21
r more than Shannon at first,
- Express the amount of money that Rachel had at first in terms of r.
- If r = 19, find the amount of money that the two women had left after shopping.
|
Rachel |
Shannon |
Before |
1 u + $79r |
5 u |
Change |
- $79r |
|
After |
1 u |
5 u |
(a)
1 u + 79
r = 5 u + 21
r5 u - 1 u = 79
r - 21
r4 u = 79
r - 21
r = 58
r1 u = 58
r ÷ 4 = 14.5
r Rachel's amount at first
= 1 u + 79
r = 14.5
r + 79
r = $93.5
r (b)
1 u + 5 u = 6 u
6 u = 6 x 14.5
r = 87
r Amount the two women had left
= 87 x 19
= $1653
Answer(s): (a) $93.5
r; (b) $1653