Shannon and Ivory went shopping. After Shannon spent $50
q, Ivory had 5 times as much as Shannon. If Shannon had $22
q more than Ivory at first,
- Express the amount of money that Shannon had at first in terms of q.
- If q = 10, find the amount of money that the two lady had left after shopping.
|
Shannon |
Ivory |
Before |
1 u + $50q |
5 u |
Change |
- $50q |
|
After |
1 u |
5 u |
(a)
1 u + 50
q = 5 u + 22
q5 u - 1 u = 50
q - 22
q4 u = 50
q - 22
q = 28
q1 u = 28
q ÷ 4 = 7
q Shannon's amount at first
= 1 u + 50
q = 7
q + 50
q = $57
q (b)
1 u + 5 u = 6 u
6 u = 6 x 7
q = 42
q Amount the two lady had left
= 42 x 10
= $420
Answer(s): (a) $57
q; (b) $420