Xandra and Emily went shopping. After Xandra spent $52
q, Emily had 5 times as much as Xandra. If Xandra had $24
q more than Emily at first,
- Express the amount of money that Xandra had at first in terms of q.
- If q = 32, find the amount of money that the two lady had left after shopping.
|
Xandra |
Emily |
Before |
1 u + $52q |
5 u |
Change |
- $52q |
|
After |
1 u |
5 u |
(a)
1 u + 52
q = 5 u + 24
q5 u - 1 u = 52
q - 24
q4 u = 52
q - 24
q = 28
q1 u = 28
q ÷ 4 = 7
q Xandra's amount at first
= 1 u + 52
q = 7
q + 52
q = $59
q (b)
1 u + 5 u = 6 u
6 u = 6 x 7
q = 42
q Amount the two lady had left
= 42 x 32
= $1344
Answer(s): (a) $59
q; (b) $1344