Shannon and Irene went shopping. After Shannon spent $54
j, Irene had 3 times as much as Shannon. If Shannon had $26
j more than Irene at first,
- Express the amount of money that Shannon had at first in terms of j.
- If j = 11, find the amount of money that the two women had left after shopping.
|
Shannon |
Irene |
Before |
1 u + $54j |
3 u |
Change |
- $54j |
|
After |
1 u |
3 u |
(a)
1 u + 54
j = 3 u + 26
j3 u - 1 u = 54
j - 26
j2 u = 54
j - 26
j = 28
j1 u = 28
j ÷ 2 = 14
j Shannon's amount at first
= 1 u + 54
j = 14
j + 54
j = $68
j (b)
1 u + 3 u = 4 u
4 u = 4 x 14
j = 56
j Amount the two women had left
= 56 x 11
= $616
Answer(s): (a) $68
j; (b) $616