Question

A zoo charges $15 for an adult tickets and $11 for children’s tickets. One day a total of $11,920 was collected from the sale of 960 tickets. How many of each were sold?

Answer 1

Let's use a system of equations to solve the problem.

Let x be the number of adult tickets sold and y be the number of children's tickets sold.

We know that the total number of tickets sold is 960, so we can write:

x + y = 960

We also know that the total revenue from the ticket sales was $11,920. The revenue from the adult tickets is $15 times the number of adult tickets sold, and the revenue from the children's tickets is $11 times the number of children's tickets sold. So we can write:

15x + 11y = 11,920

We now have two equations with two unknowns, which we can solve using substitution or elimination. Let's use elimination:

Multiply the first equation by 11 to get 11x + 11y = 10,560

Subtract the second equation from the first to get:

15x + 11y - 15x - 11y = 11,920 - 10,560

Simplifying, we get:

4x = 1,360

Dividing both sides by 4, we get:

x = 340

So 340 adult tickets were sold.

Substituting this value back into the first equation, we get:

340 + y = 960

Solving for y, we get:

y = 620

So 620 children's tickets were sold.

Therefore, there were 340 adult tickets sold and 620 children's tickets sold.

Answer 2

Let's denote the number of adult tickets sold by "x" and the number of children's tickets sold by "y".

We know that the total number of tickets sold is 960, so:

x + y = 960

We also know the total amount collected, which is $11,920:

15x + 11y = 11,920

Now we have two equations with two unknowns, and we can solve for x and y. One way to do this is by using substitution. We can solve the first equation for x:

x = 960 - y

Then substitute this expression for x into the second equation:

15(960 - y) + 11y = 11,920

Expanding the brackets gives:

14,400 - 15y + 11y = 11,920

Simplifying:

4y = 2,480

y = 620

Now we can use this value of y to find x:

x = 960 - y = 960 - 620 = 340

Therefore, 340 adult tickets and 620 children's tickets were sold.