John sold 18 general admission tickets and 11 VIP tickets.
Step-by-step explanation:
Given, 
Cost of each general admission = $50 
Cost of each VIP ticket = $55
Total tickets sold = 29 
Total revenue generated = $1505 
Let, 
x represent the number of general admission tickets sold 
y represent the number of VIP tickets.
x+y=29     Eqn 1
50x+55y=1505   Eqn 2 
Multiplying Eqn 1 by 50 

Subtracting Eqn 3 from Eqn 2 

Dividing both sides by 5 

Putting y=11 in Eqn 1 

John sold 18 general admission tickets and 11 VIP tickets.
Keywords: linear equation, elimination method 
Learn more about elimination method at:
#LearnwithBrainly
 
        
             
        
        
        
SOLUTION 
From the question, the center of the hyperbola is 

a is the distance between the center to vertex, which is -1 or 1, and 
c is the distance between the center to foci, which is -2 or 2.
b is given as 
![\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2%3Dc%5E2-a%5E2%20%5C%5C%20b%5E2%3D2%5E2-1%5E2%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B3%7D%20%5Cend%7Bgathered%7D)
But equation of a hyperbola is given as 

Substituting the values of a, b, h and k, we have 
![\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%28x-0%29%5E2%7D%7B1%5E2%7D-%5Cfrac%7B%28y-0%29%5E2%7D%7B%5Csqrt%5B%5D%7B3%7D%5E2%7D%3D1%20%5C%5C%20%5Cfrac%7Bx%5E2%7D%7B1%7D-%5Cfrac%7By%5E2%7D%7B3%7D%3D1%20%5Cend%7Bgathered%7D)
Hence the answer is 
 
 
        
             
        
        
        
Variables- x,y 
terms- 4
coefficient-3x, 6y, 10x 
constant- 5, 9
like terms- 3x , 10x
        
                    
             
        
        
        
Answer:
Solution given:
model A printers [a] prints=80books per day
model B printers [b] prints=55books per day
total no of printers =9
no of model A printers be x
and 
no of model B printers be [9-x]
According to the question;
ax+(9-x)b=670 books
substituting value of a and b; we get
80x+(9-x)55=670
80x-55x+495=670
25x=670-495=175
x= =7
=7
So;
 no of model A printers =x=<u>7</u>
no of model B printers =9-x=9-7=<u>2</u>
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