There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 36
Putting x=100 in Eqn 2
Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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If you add a zero at the end it is easier to understand. 0.20 > 0.18 because 20 is greater than 18
Since both equations equal Y, set them equal to each other and solve.
3x -1 = -2x +9
Add 2x to each side:
5x - 1 = 9
Add 1 to each side:
5x = 10
Divide both sides by 5:
x = 10/5
x = 2
Now replace x with 2 and solve for y:
y = 3(2) -1 = 6-1 = 5
x = 2, y = 5 (2,5)
A. Gloria because Gloria isn't being showed something shes the one showing something to someone else.
<h2>
Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
is the cost per pound.- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
From the equation we can determine as:
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).
