Jen and Linda went shopping. After Jen spent $56
x, Linda had 3 times as much as Jen. If Jen had $28
x more than Linda at first,
- Express the amount of money that Jen had at first in terms of x.
- If x = 15, find the amount of money that the two women had left after shopping.
|
Jen |
Linda |
Before |
1 u + $56x |
3 u |
Change |
- $56x |
|
After |
1 u |
3 u |
(a)
1 u + 56
x = 3 u + 28
x3 u - 1 u = 56
x - 28
x2 u = 56
x - 28
x = 28
x1 u = 28
x ÷ 2 = 14
x Jen's amount at first
= 1 u + 56
x = 14
x + 56
x = $70
x (b)
1 u + 3 u = 4 u
4 u = 4 x 14
x = 56
x Amount the two women had left
= 56 x 15
= $840
Answer(s): (a) $70
x; (b) $840