Anna and Hilda went shopping. After Anna spent $76
i, Hilda had 3 times as much as Anna. If Anna had $27
i more than Hilda at first,
- Express the amount of money that Anna had at first in terms of i.
- If i = 30, find the amount of money that the two lady had left after shopping.
|
Anna |
Hilda |
Before |
1 u + $76i |
3 u |
Change |
- $76i |
|
After |
1 u |
3 u |
(a)
1 u + 76
i = 3 u + 27
i3 u - 1 u = 76
i - 27
i2 u = 76
i - 27
i = 49
i1 u = 49
i ÷ 2 = 24.5
i Anna's amount at first
= 1 u + 76
i = 24.5
i + 76
i = $100.5
i (b)
1 u + 3 u = 4 u
4 u = 4 x 24.5
i = 98
i Amount the two lady had left
= 98 x 30
= $2940
Answer(s): (a) $100.5
i; (b) $2940