Diana and Joelle went shopping. After Diana spent $72
d, Joelle had 4 times as much as Diana. If Diana had $21
d more than Joelle at first,
- Express the amount of money that Diana had at first in terms of d.
- If d = 38, find the amount of money that the two women had left after shopping.
|
Diana |
Joelle |
Before |
1 u + $72d |
4 u |
Change |
- $72d |
|
After |
1 u |
4 u |
(a)
1 u + 72
d = 4 u + 21
d4 u - 1 u = 72
d - 21
d3 u = 72
d - 21
d = 51
d1 u = 51
d ÷ 3 = 17
d Diana's amount at first
= 1 u + 72
d = 17
d + 72
d = $89
d (b)
1 u + 4 u = 5 u
5 u = 5 x 17
d = 85
d Amount the two women had left
= 85 x 38
= $3230
Answer(s): (a) $89
d; (b) $3230