Gabby and Marion went shopping. After Gabby spent $78
d, Marion had 3 times as much as Gabby. If Gabby had $22
d more than Marion at first,
- Express the amount of money that Gabby had at first in terms of d.
- If d = 19, find the amount of money that the two women had left after shopping.
|
Gabby |
Marion |
Before |
1 u + $78d |
3 u |
Change |
- $78d |
|
After |
1 u |
3 u |
(a)
1 u + 78
d = 3 u + 22
d3 u - 1 u = 78
d - 22
d2 u = 78
d - 22
d = 56
d1 u = 56
d ÷ 2 = 28
d Gabby's amount at first
= 1 u + 78
d = 28
d + 78
d = $106
d (b)
1 u + 3 u = 4 u
4 u = 4 x 28
d = 112
d Amount the two women had left
= 112 x 19
= $2128
Answer(s): (a) $106
d; (b) $2128