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. What is the number of children who attended the game?

1) 20
2) 30
3) 40
4) 50

Answer 1

To find the number of children who attended the game, we can set up an equation using the given information and solve for the variable representing the number of children. The equation is 2x + 4(70 - x) = 180, and by solving it, we find that 50 children attended the game.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information. Let's assume the number of children who attended the game is 'x'. Since there are a total of 70 people, the number of adults who attended the game is '70 - x'.

The total money collected from ticket sales can be calculated by multiplying the number of children by the cost of a child ticket ($2) and adding it to the product of the number of adults by the cost of an adult ticket ($4), which gives us the equation: 2x + 4(70 - x) = 180.

Simplifying the equation: 2x + 280 - 4x = 180. Rearranging the terms: -2x = 180 - 280. Combining like terms: -2x = -100. Dividing both sides of the equation by -2, we find x = 50.

Therefore, the number of children who attended the game is 50 (option 4).