Gillian and Victorium went shopping. After Gillian spent $77
d, Victorium had 3 times as much as Gillian. If Gillian had $21
d more than Victorium at first,
- Express the amount of money that Gillian had at first in terms of d.
- If d = 22, find the amount of money that the two lady had left after shopping.
|
Gillian |
Victorium |
Before |
1 u + $77d |
3 u |
Change |
- $77d |
|
After |
1 u |
3 u |
(a)
1 u + 77
d = 3 u + 21
d3 u - 1 u = 77
d - 21
d2 u = 77
d - 21
d = 56
d1 u = 56
d ÷ 2 = 28
d Gillian's amount at first
= 1 u + 77
d = 28
d + 77
d = $105
d (b)
1 u + 3 u = 4 u
4 u = 4 x 28
d = 112
d Amount the two lady had left
= 112 x 22
= $2464
Answer(s): (a) $105
d; (b) $2464