Tiffany and Natalie went shopping. After Tiffany spent $80
i, Natalie had 5 times as much as Tiffany. If Tiffany had $24
i more than Natalie at first,
- Express the amount of money that Tiffany had at first in terms of i.
- If i = 39, find the amount of money that the two women had left after shopping.
|
Tiffany |
Natalie |
Before |
1 u + $80i |
5 u |
Change |
- $80i |
|
After |
1 u |
5 u |
(a)
1 u + 80
i = 5 u + 24
i5 u - 1 u = 80
i - 24
i4 u = 80
i - 24
i = 56
i1 u = 56
i ÷ 4 = 14
i Tiffany's amount at first
= 1 u + 80
i = 14
i + 80
i = $94
i (b)
1 u + 5 u = 6 u
6 u = 6 x 14
i = 84
i Amount the two women had left
= 84 x 39
= $3276
Answer(s): (a) $94
i; (b) $3276