Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Both A and C are used within this problem. Distributing happens in the first and second step. Also, Inverse operations are used in nearly every step that is solving.
Answer:
- 400 adult tickets
- 325 children's tickets
Step-by-step explanation:
Let x represent the number of adult tickets sold. Then 725-x is the number of children's tickets sold, and the total revenue is ...
2.50x +1.50(725 -x) = 1487.50
1.00x + 1087.50 = 1487.50 . . . . . eliminate parentheses
x = 400 . . . . . . . . . . . . . . . . . . . . . subtract 1087.50
There were 400 adult tickets and 325 children's tickets sold.
Let v = number of video's she bought
Let c = number of CD's she bought
v+c=16
1495v+1688c=9355
Multiply both sides of (1) by 1495
and subtract (1) from (2)
-1495v-1495c=-8970
193c=386
c=2h
Answer:
1.7
Step-by-step explanation:
