Natalie and Gillian went shopping. After Natalie spent $60
k, Gillian had 4 times as much as Natalie. If Natalie had $21
k more than Gillian at first,
- Express the amount of money that Natalie had at first in terms of k.
- If k = 30, find the amount of money that the two women had left after shopping.
|
Natalie |
Gillian |
Before |
1 u + $60k |
4 u |
Change |
- $60k |
|
After |
1 u |
4 u |
(a)
1 u + 60
k = 4 u + 21
k4 u - 1 u = 60
k - 21
k3 u = 60
k - 21
k = 39
k1 u = 39
k ÷ 3 = 13
k Natalie's amount at first
= 1 u + 60
k = 13
k + 60
k = $73
k (b)
1 u + 4 u = 5 u
5 u = 5 x 13
k = 65
k Amount the two women had left
= 65 x 30
= $1950
Answer(s): (a) $73
k; (b) $1950