Olivium and Diana went shopping. After Olivium spent $75
f, Diana had 3 times as much as Olivium. If Olivium had $25
f more than Diana at first,
- Express the amount of money that Olivium had at first in terms of f.
- If f = 19, find the amount of money that the two lady had left after shopping.
|
Olivium |
Diana |
Before |
1 u + $75f |
3 u |
Change |
- $75f |
|
After |
1 u |
3 u |
(a)
1 u + 75
f = 3 u + 25
f3 u - 1 u = 75
f - 25
f2 u = 75
f - 25
f = 50
f1 u = 50
f ÷ 2 = 25
f Olivium's amount at first
= 1 u + 75
f = 25
f + 75
f = $100
f (b)
1 u + 3 u = 4 u
4 u = 4 x 25
f = 100
f Amount the two lady had left
= 100 x 19
= $1900
Answer(s): (a) $100
f; (b) $1900