Pamela and Wendy went shopping. After Pamela spent $64
i, Wendy had 3 times as much as Pamela. If Pamela had $29
i more than Wendy at first,
- Express the amount of money that Pamela had at first in terms of i.
- If i = 33, find the amount of money that the two women had left after shopping.
|
Pamela |
Wendy |
Before |
1 u + $64i |
3 u |
Change |
- $64i |
|
After |
1 u |
3 u |
(a)
1 u + 64
i = 3 u + 29
i3 u - 1 u = 64
i - 29
i2 u = 64
i - 29
i = 35
i1 u = 35
i ÷ 2 = 17.5
i Pamela's amount at first
= 1 u + 64
i = 17.5
i + 64
i = $81.5
i (b)
1 u + 3 u = 4 u
4 u = 4 x 17.5
i = 70
i Amount the two women had left
= 70 x 33
= $2310
Answer(s): (a) $81.5
i; (b) $2310