Jane and Xylium went shopping. After Jane spent $88
q, Xylium had 3 times as much as Jane. If Jane had $24
q more than Xylium at first,
- Express the amount of money that Jane had at first in terms of q.
- If q = 38, find the amount of money that the two lady had left after shopping.
|
Jane |
Xylium |
Before |
1 u + $88q |
3 u |
Change |
- $88q |
|
After |
1 u |
3 u |
(a)
1 u + 88
q = 3 u + 24
q3 u - 1 u = 88
q - 24
q2 u = 88
q - 24
q = 64
q1 u = 64
q ÷ 2 = 32
q Jane's amount at first
= 1 u + 88
q = 32
q + 88
q = $120
q (b)
1 u + 3 u = 4 u
4 u = 4 x 32
q = 128
q Amount the two lady had left
= 128 x 38
= $4864
Answer(s): (a) $120
q; (b) $4864