Raeann and Joelle went shopping. After Raeann spent $52
d, Joelle had 3 times as much as Raeann. If Raeann had $21
d more than Joelle at first,
- Express the amount of money that Raeann had at first in terms of d.
- If d = 26, find the amount of money that the two women had left after shopping.
|
Raeann |
Joelle |
Before |
1 u + $52d |
3 u |
Change |
- $52d |
|
After |
1 u |
3 u |
(a)
1 u + 52
d = 3 u + 21
d3 u - 1 u = 52
d - 21
d2 u = 52
d - 21
d = 31
d1 u = 31
d ÷ 2 = 15.5
d Raeann's amount at first
= 1 u + 52
d = 15.5
d + 52
d = $67.5
d (b)
1 u + 3 u = 4 u
4 u = 4 x 15.5
d = 62
d Amount the two women had left
= 62 x 26
= $1612
Answer(s): (a) $67.5
d; (b) $1612