Olivium and Jen went shopping. After Olivium spent $86
d, Jen had 3 times as much as Olivium. If Olivium had $23
d more than Jen at first,
- Express the amount of money that Olivium had at first in terms of d.
- If d = 14, find the amount of money that the two women had left after shopping.
|
Olivium |
Jen |
Before |
1 u + $86d |
3 u |
Change |
- $86d |
|
After |
1 u |
3 u |
(a)
1 u + 86
d = 3 u + 23
d3 u - 1 u = 86
d - 23
d2 u = 86
d - 23
d = 63
d1 u = 63
d ÷ 2 = 31.5
d Olivium's amount at first
= 1 u + 86
d = 31.5
d + 86
d = $117.5
d (b)
1 u + 3 u = 4 u
4 u = 4 x 31.5
d = 126
d Amount the two women had left
= 126 x 14
= $1764
Answer(s): (a) $117.5
d; (b) $1764