Roshel and Erika went shopping. After Roshel spent $74
i, Erika had 4 times as much as Roshel. If Roshel had $29
i more than Erika at first,
- Express the amount of money that Roshel had at first in terms of i.
- If i = 33, find the amount of money that the two lady had left after shopping.
|
Roshel |
Erika |
Before |
1 u + $74i |
4 u |
Change |
- $74i |
|
After |
1 u |
4 u |
(a)
1 u + 74
i = 4 u + 29
i4 u - 1 u = 74
i - 29
i3 u = 74
i - 29
i = 45
i1 u = 45
i ÷ 3 = 15
i Roshel's amount at first
= 1 u + 74
i = 15
i + 74
i = $89
i (b)
1 u + 4 u = 5 u
5 u = 5 x 15
i = 75
i Amount the two lady had left
= 75 x 33
= $2475
Answer(s): (a) $89
i; (b) $2475