Xandra and Kathy went shopping. After Xandra spent $63
n, Kathy had 3 times as much as Xandra. If Xandra had $30
n more than Kathy at first,
- Express the amount of money that Xandra had at first in terms of n.
- If n = 33, find the amount of money that the two women had left after shopping.
|
Xandra |
Kathy |
Before |
1 u + $63n |
3 u |
Change |
- $63n |
|
After |
1 u |
3 u |
(a)
1 u + 63
n = 3 u + 30
n3 u - 1 u = 63
n - 30
n2 u = 63
n - 30
n = 33
n1 u = 33
n ÷ 2 = 16.5
n Xandra's amount at first
= 1 u + 63
n = 16.5
n + 63
n = $79.5
n (b)
1 u + 3 u = 4 u
4 u = 4 x 16.5
n = 66
n Amount the two women had left
= 66 x 33
= $2178
Answer(s): (a) $79.5
n; (b) $2178