Tina and Fanny went shopping. After Tina spent $56
r, Fanny had 5 times as much as Tina. If Tina had $30
r more than Fanny at first,
- Express the amount of money that Tina had at first in terms of r.
- If r = 14, find the amount of money that the two women had left after shopping.
|
Tina |
Fanny |
Before |
1 u + $56r |
5 u |
Change |
- $56r |
|
After |
1 u |
5 u |
(a)
1 u + 56
r = 5 u + 30
r5 u - 1 u = 56
r - 30
r4 u = 56
r - 30
r = 26
r1 u = 26
r ÷ 4 = 6.5
r Tina's amount at first
= 1 u + 56
r = 6.5
r + 56
r = $62.5
r (b)
1 u + 5 u = 6 u
6 u = 6 x 6.5
r = 39
r Amount the two women had left
= 39 x 14
= $546
Answer(s): (a) $62.5
r; (b) $546