Kimberly and Roshel went shopping. After Kimberly spent $54
x, Roshel had 4 times as much as Kimberly. If Kimberly had $24
x more than Roshel at first,
- Express the amount of money that Kimberly had at first in terms of x.
- If x = 11, find the amount of money that the two women had left after shopping.
|
Kimberly |
Roshel |
Before |
1 u + $54x |
4 u |
Change |
- $54x |
|
After |
1 u |
4 u |
(a)
1 u + 54
x = 4 u + 24
x4 u - 1 u = 54
x - 24
x3 u = 54
x - 24
x = 30
x1 u = 30
x ÷ 3 = 10
x Kimberly's amount at first
= 1 u + 54
x = 10
x + 54
x = $64
x (b)
1 u + 4 u = 5 u
5 u = 5 x 10
x = 50
x Amount the two women had left
= 50 x 11
= $550
Answer(s): (a) $64
x; (b) $550