Question

Tickets to a football game were $2 for children and $4 for adults. The total money collected was $180 and a total of 70 people attended. How many children attended the game?

Answer 1

By setting up a system of equations and solving for the number of children (x) and adults (y) who attended the football game, we find that 50 children attended the game.

Step-by-step explanation:

To determine how many children attended the football game at $2 per ticket and adults at $4 per ticket with a total collection of $180 from 70 people, we can set up a system of equations. Let x be the number of children, and y be the number of adults. The following equations can be formulated from the information provided:

1. 2x + 4y = 180 (The total amount collected from ticket sales.)
2. x + y = 70 (The total number of people who attended the game.)

Now, we solve the system of equations. We can multiply the second equation by 2 and subtract it from the first to eliminate y and solve for x: 2x + 4y = 180-(2x + 2y = 140)

Simplifying that gives us: 2y = 40 y = 20

Now replace y with 20 in the equation x + y = 70: x + 20 = 70

Subtract 20 from both sides: x = 50

Therefore, 50 children attended the football game.