Erika and Tammy went shopping. After Erika spent $55
i, Tammy had 3 times as much as Erika. If Erika had $26
i more than Tammy at first,
- Express the amount of money that Erika had at first in terms of i.
- If i = 35, find the amount of money that the two women had left after shopping.
|
Erika |
Tammy |
Before |
1 u + $55i |
3 u |
Change |
- $55i |
|
After |
1 u |
3 u |
(a)
1 u + 55
i = 3 u + 26
i3 u - 1 u = 55
i - 26
i2 u = 55
i - 26
i = 29
i1 u = 29
i ÷ 2 = 14.5
i Erika's amount at first
= 1 u + 55
i = 14.5
i + 55
i = $69.5
i (b)
1 u + 3 u = 4 u
4 u = 4 x 14.5
i = 58
i Amount the two women had left
= 58 x 35
= $2030
Answer(s): (a) $69.5
i; (b) $2030