Yen and Pamela went shopping. After Yen spent $92
j, Pamela had 5 times as much as Yen. If Yen had $28
j more than Pamela at first,
- Express the amount of money that Yen had at first in terms of j.
- If j = 24, find the amount of money that the two women had left after shopping.
|
Yen |
Pamela |
Before |
1 u + $92j |
5 u |
Change |
- $92j |
|
After |
1 u |
5 u |
(a)
1 u + 92
j = 5 u + 28
j5 u - 1 u = 92
j - 28
j4 u = 92
j - 28
j = 64
j1 u = 64
j ÷ 4 = 16
j Yen's amount at first
= 1 u + 92
j = 16
j + 92
j = $108
j (b)
1 u + 5 u = 6 u
6 u = 6 x 16
j = 96
j Amount the two women had left
= 96 x 24
= $2304
Answer(s): (a) $108
j; (b) $2304