Rachel and Shannon went shopping. After Rachel spent $79
b, Shannon had 3 times as much as Rachel. If Rachel had $27
b more than Shannon at first,
- Express the amount of money that Rachel had at first in terms of b.
- If b = 17, find the amount of money that the two women had left after shopping.
|
Rachel |
Shannon |
Before |
1 u + $79b |
3 u |
Change |
- $79b |
|
After |
1 u |
3 u |
(a)
1 u + 79
b = 3 u + 27
b3 u - 1 u = 79
b - 27
b2 u = 79
b - 27
b = 52
b1 u = 52
b ÷ 2 = 26
b Rachel's amount at first
= 1 u + 79
b = 26
b + 79
b = $105
b (b)
1 u + 3 u = 4 u
4 u = 4 x 26
b = 104
b Amount the two women had left
= 104 x 17
= $1768
Answer(s): (a) $105
b; (b) $1768