Irene and Kylie went shopping. After Irene spent $55
j, Kylie had 3 times as much as Irene. If Irene had $27
j more than Kylie at first,
- Express the amount of money that Irene had at first in terms of j.
- If j = 10, find the amount of money that the two women had left after shopping.
|
Irene |
Kylie |
Before |
1 u + $55j |
3 u |
Change |
- $55j |
|
After |
1 u |
3 u |
(a)
1 u + 55
j = 3 u + 27
j3 u - 1 u = 55
j - 27
j2 u = 55
j - 27
j = 28
j1 u = 28
j ÷ 2 = 14
j Irene's amount at first
= 1 u + 55
j = 14
j + 55
j = $69
j (b)
1 u + 3 u = 4 u
4 u = 4 x 14
j = 56
j Amount the two women had left
= 56 x 10
= $560
Answer(s): (a) $69
j; (b) $560