Gem and Barbara went shopping. After Gem spent $56
k, Barbara had 3 times as much as Gem. If Gem had $26
k more than Barbara at first,
- Express the amount of money that Gem had at first in terms of k.
- If k = 25, find the amount of money that the two women had left after shopping.
|
Gem |
Barbara |
Before |
1 u + $56k |
3 u |
Change |
- $56k |
|
After |
1 u |
3 u |
(a)
1 u + 56
k = 3 u + 26
k3 u - 1 u = 56
k - 26
k2 u = 56
k - 26
k = 30
k1 u = 30
k ÷ 2 = 15
k Gem's amount at first
= 1 u + 56
k = 15
k + 56
k = $71
k (b)
1 u + 3 u = 4 u
4 u = 4 x 15
k = 60
k Amount the two women had left
= 60 x 25
= $1500
Answer(s): (a) $71
k; (b) $1500