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

Question

06-12-2014
Mathematics

Answered

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

Answer :

Other Questions

Listen A What are the 3 different Primary types of exercise? Please choose all that apply Endurance Flexibility Strength Training Resistance Cardio Kinesthetic

The number of which subatomic particle determines the identity of an element? neutrons O О protons о forcons О photons O electrons

Floods and storm surges can erode the land. Which landform can protect inland areas from floods and storm surges? O Deltas O Dunes Rivers O Lakes

Why did Nick Carraway move to work in New York? о O a To star on Broadway Ob To become a stockbroker Ос To work in the bonds business Od To become a politician

What is the derivative of f(x)=2x ? Select one: a. 2x−1 b. 2xln² c. 2x d. 2x+1

Question 17 of 20: Select the best answer for the question. 17. What would be the best objective statement on a résumé of someone looking to change careers? O A

How might a Kantian argue that businesses have a moral obligation to pay a living wage to their employees? A. Paying a living wage will maximize worker happines

Which type of Recurrent Neural Network (RNN) architecture is used for Machine Translation?

In the absence of a time condition in either offer, an offer by a retailer to purchase seasonal goods from a wholesaler would lapse later than an offer to purch

Down syndrome a. is due to disjunction of chromosomes. b. individuals have two number 21 chromosomes. c. may occur at a lower rate in women over 40. d. can occu

Melissaawe Melissaawe · Answer 1 · 2014-12-06T18:23:48-05:00

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.