Betty and Nicole went shopping. After Betty spent $83
d, Nicole had 4 times as much as Betty. If Betty had $26
d more than Nicole at first,
- Express the amount of money that Betty had at first in terms of d.
- If d = 39, find the amount of money that the two lady had left after shopping.
|
Betty |
Nicole |
Before |
1 u + $83d |
4 u |
Change |
- $83d |
|
After |
1 u |
4 u |
(a)
1 u + 83
d = 4 u + 26
d4 u - 1 u = 83
d - 26
d3 u = 83
d - 26
d = 57
d1 u = 57
d ÷ 3 = 19
d Betty's amount at first
= 1 u + 83
d = 19
d + 83
d = $102
d (b)
1 u + 4 u = 5 u
5 u = 5 x 19
d = 95
d Amount the two lady had left
= 95 x 39
= $3705
Answer(s): (a) $102
d; (b) $3705