Opal and Diana went shopping. After Opal spent $62
f, Diana had 3 times as much as Opal. If Opal had $24
f more than Diana at first,
- Express the amount of money that Opal had at first in terms of f.
- If f = 37, find the amount of money that the two women had left after shopping.
|
Opal |
Diana |
Before |
1 u + $62f |
3 u |
Change |
- $62f |
|
After |
1 u |
3 u |
(a)
1 u + 62
f = 3 u + 24
f3 u - 1 u = 62
f - 24
f2 u = 62
f - 24
f = 38
f1 u = 38
f ÷ 2 = 19
f Opal's amount at first
= 1 u + 62
f = 19
f + 62
f = $81
f (b)
1 u + 3 u = 4 u
4 u = 4 x 19
f = 76
f Amount the two women had left
= 76 x 37
= $2812
Answer(s): (a) $81
f; (b) $2812