Admissions to a baseball game is $2.00 for general admission and $6.50 for reserve seats.The receipts were $3836.50 for 1133 paid admissions.How many of each tickets were sold?

Question

Admissions to a baseball game is $2.00 for general admission and $6.50 for reserve seats.The receipts were $3836.50 for 1133 paid admissions.How many of each tickets were sold?

Answer 1

Ganett, that negative answer should not have made sense to you.

form
2.00x + 6.50(1133-x) = 3836.50
2.00x+7364.50-6.50x = 3836.50
-4.5x = -3528
x = 784
1133-x = 349

x had to be a positive whole number, since it stands for the number of tickets

Answer 2

If there are x general tickets, then the rest (1133-x) are reserve. So, add up the receipts:

2.00x + 6.50(1133-x) = 3836.50

Answer 3

To solve this problem, we need to set up a system of equations. Let's use the variables "x" to represent the number of general admission tickets sold and "y" for the number of reserve seats sold.

We know that the total number of paid admissions is 1133:
x + y = 1133 (Equation 1)

We also have information about the total receipts from ticket sales. The cost of a general admission ticket is $2.00, so the revenue from general admission sales is 2x. The cost of a reserve seat ticket is $6.50, so the revenue from reserve seat sales is 6.5y. Therefore, the total revenue is the sum of these two amounts:

2x + 6.5y = 3836.50 (Equation 2)

Now we have two equations with two unknowns. We can solve this system of equations to find the values of x and y.

One way to do this is by substitution or elimination. Let's use elimination to solve the system. Multiply Equation 1 by 2 to make the coefficients of "x" match:

2(x + y) = 2(1133)
2x + 2y = 2266

Now we can subtract this equation from Equation 2 to eliminate the "x" variable:

(2x + 6.5y) - (2x + 2y) = 3836.50 - 2266
4.5y = 1570.50

To isolate "y," divide both sides of the equation by 4.5:

y = 1570.50 / 4.5
y = 348.89

Since "y" represents the number of reserve seats sold, it must be a whole number. Therefore, we can round it to the nearest whole number:

y = 349

Now substitute this value back into Equation 1 to find "x":

x + 349 = 1133
x = 1133 - 349
x = 784

So, 784 general admission tickets and 349 reserve seat tickets were sold.

Answer 4

To finish the equation you do..

2.00x + 6.50(1133-x) = 3836.50
2.00x+7364.50-6.50 = 38.50
2.00x= 38.50 -7358
x= -7319.5/2
x= -3659.75

But check my work.