Mary and Kathy went shopping. After Mary spent $93
k, Kathy had 3 times as much as Mary. If Mary had $30
k more than Kathy at first,
- Express the amount of money that Mary had at first in terms of k.
- If k = 40, find the amount of money that the two women had left after shopping.
|
Mary |
Kathy |
Before |
1 u + $93k |
3 u |
Change |
- $93k |
|
After |
1 u |
3 u |
(a)
1 u + 93
k = 3 u + 30
k3 u - 1 u = 93
k - 30
k2 u = 93
k - 30
k = 63
k1 u = 63
k ÷ 2 = 31.5
k Mary's amount at first
= 1 u + 93
k = 31.5
k + 93
k = $124.5
k (b)
1 u + 3 u = 4 u
4 u = 4 x 31.5
k = 126
k Amount the two women had left
= 126 x 40
= $5040
Answer(s): (a) $124.5
k; (b) $5040