Jane and Elyse went shopping. After Jane spent $62
b, Elyse had 3 times as much as Jane. If Jane had $22
b more than Elyse at first,
- Express the amount of money that Jane had at first in terms of b.
- If b = 39, find the amount of money that the two women had left after shopping.
|
Jane |
Elyse |
Before |
1 u + $62b |
3 u |
Change |
- $62b |
|
After |
1 u |
3 u |
(a)
1 u + 62
b = 3 u + 22
b3 u - 1 u = 62
b - 22
b2 u = 62
b - 22
b = 40
b1 u = 40
b ÷ 2 = 20
b Jane's amount at first
= 1 u + 62
b = 20
b + 62
b = $82
b (b)
1 u + 3 u = 4 u
4 u = 4 x 20
b = 80
b Amount the two women had left
= 80 x 39
= $3120
Answer(s): (a) $82
b; (b) $3120