2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday

Hi. So, you know that there were 2000 tickets sold on Saturday. You also know that the total amount collected was $6400. To find out how many adult tickets and child tickets were sold, simply follow these steps:

1.) First find out how many ADULT tickets were sold. Divide total tickets with price of one ticket. 2000/4= 500 adult tickets were sold.

2.) Now find out CHILD ticket. Same thing as first. 2000/2= 1000 child tickets were sold.

>>>>So, on Saturday, 500 adult tickets were sold, and 1000 child tickets were sold. Hope that helps! :)

makhiyaculp makhiyaculp · Answer 2 · 2020-11-03T07:40:29-05:00

Answer:

Let x = # of adult tickets sold (at $4.00 each)

Let y = # of child tickets sold (at $2.00 each)

We can take the above information, along with the 2000 tickets sold and the $6,400 collected, to get the following two math statements:

x + y = 2000 (Total unknown number of $4.00 + total unknown number of $2.00 tickets, equals a total of 2,000 tickets sold

4x + 2y = 6400 ($4.00 * unknown number of $4.00 tickets + $2.00 * unknown number of $2.00 tickets, equals the total of $6,400 collected in ticket sales

So, write these as:

x + y = 2000

4x + 2y = 6400

Take the first equation: Turn it into a y= statement, by subtracting 'x' from both sides, to get:

y = 2000 - x

Next, go to the 2nd equation. Where you see the 'y', substitute the y-value in its place: '2000 - x'

This gives you:

4x + 2 (2000 - x) = 6400

This then gives us: 4x + 4000 -2x = 6400

Collect like terms to get:

2x + 4000 = 6400

Subtract 4000 from both sides to get:

2x = 2400

Next, divide both sides by 2, to get x = 1200

We now know that there were 1,200 adult ($4.00) tickets sold; put this information back into the original equation:

1200 + y = 2000

Next, subtract 1200 from both sides, so that we can solve for y; which is:

y = 800

Next, check our work, by substituting back into the two original equations:

1200 + 800 = 2000 [Check]

4 * 1200 + 2 * 800 = 4800 + 1600 + 6400 [Check]

So: 1,200 tickets sold at $4.00 each; and 800 tickets sold at $2.00 each, final and correct answer.