Olivium and Erika went shopping. After Olivium spent $62
i, Erika had 4 times as much as Olivium. If Olivium had $26
i more than Erika at first,
- Express the amount of money that Olivium had at first in terms of i.
- If i = 36, find the amount of money that the two lady had left after shopping.
|
Olivium |
Erika |
Before |
1 u + $62i |
4 u |
Change |
- $62i |
|
After |
1 u |
4 u |
(a)
1 u + 62
i = 4 u + 26
i4 u - 1 u = 62
i - 26
i3 u = 62
i - 26
i = 36
i1 u = 36
i ÷ 3 = 12
i Olivium's amount at first
= 1 u + 62
i = 12
i + 62
i = $74
i (b)
1 u + 4 u = 5 u
5 u = 5 x 12
i = 60
i Amount the two lady had left
= 60 x 36
= $2160
Answer(s): (a) $74
i; (b) $2160