Jane and Roshel went shopping. After Jane spent $75
j, Roshel had 3 times as much as Jane. If Jane had $25
j more than Roshel at first,
- Express the amount of money that Jane had at first in terms of j.
- If j = 29, find the amount of money that the two women had left after shopping.
|
Jane |
Roshel |
Before |
1 u + $75j |
3 u |
Change |
- $75j |
|
After |
1 u |
3 u |
(a)
1 u + 75
j = 3 u + 25
j3 u - 1 u = 75
j - 25
j2 u = 75
j - 25
j = 50
j1 u = 50
j ÷ 2 = 25
j Jane's amount at first
= 1 u + 75
j = 25
j + 75
j = $100
j (b)
1 u + 3 u = 4 u
4 u = 4 x 25
j = 100
j Amount the two women had left
= 100 x 29
= $2900
Answer(s): (a) $100
j; (b) $2900