Rachel and Fanny went shopping. After Rachel spent $78
q, Fanny had 3 times as much as Rachel. If Rachel had $27
q more than Fanny at first,
- Express the amount of money that Rachel had at first in terms of q.
- If q = 10, find the amount of money that the two lady had left after shopping.
|
Rachel |
Fanny |
Before |
1 u + $78q |
3 u |
Change |
- $78q |
|
After |
1 u |
3 u |
(a)
1 u + 78
q = 3 u + 27
q3 u - 1 u = 78
q - 27
q2 u = 78
q - 27
q = 51
q1 u = 51
q ÷ 2 = 25.5
q Rachel's amount at first
= 1 u + 78
q = 25.5
q + 78
q = $103.5
q (b)
1 u + 3 u = 4 u
4 u = 4 x 25.5
q = 102
q Amount the two lady had left
= 102 x 10
= $1020
Answer(s): (a) $103.5
q; (b) $1020