Shannon and Hilda went shopping. After Shannon spent $53
d, Hilda had 4 times as much as Shannon. If Shannon had $29
d more than Hilda at first,
- Express the amount of money that Shannon had at first in terms of d.
- If d = 37, find the amount of money that the two women had left after shopping.
|
Shannon |
Hilda |
Before |
1 u + $53d |
4 u |
Change |
- $53d |
|
After |
1 u |
4 u |
(a)
1 u + 53
d = 4 u + 29
d4 u - 1 u = 53
d - 29
d3 u = 53
d - 29
d = 24
d1 u = 24
d ÷ 3 = 8
d Shannon's amount at first
= 1 u + 53
d = 8
d + 53
d = $61
d (b)
1 u + 4 u = 5 u
5 u = 5 x 8
d = 40
d Amount the two women had left
= 40 x 37
= $1480
Answer(s): (a) $61
d; (b) $1480