Ivory and Barbara went shopping. After Ivory spent $51
x, Barbara had 3 times as much as Ivory. If Ivory had $29
x more than Barbara at first,
- Express the amount of money that Ivory had at first in terms of x.
- If x = 34, find the amount of money that the two lady had left after shopping.
|
Ivory |
Barbara |
Before |
1 u + $51x |
3 u |
Change |
- $51x |
|
After |
1 u |
3 u |
(a)
1 u + 51
x = 3 u + 29
x3 u - 1 u = 51
x - 29
x2 u = 51
x - 29
x = 22
x1 u = 22
x ÷ 2 = 11
x Ivory's amount at first
= 1 u + 51
x = 11
x + 51
x = $62
x (b)
1 u + 3 u = 4 u
4 u = 4 x 11
x = 44
x Amount the two lady had left
= 44 x 34
= $1496
Answer(s): (a) $62
x; (b) $1496