Question

Math homework help - please

It costs $3 for children and $7 for adults to attend a school game. If 5000 people attended the game and the total taking was 25000, determine no. of children and adults that atteneded

Answer 1

Try this method to answer without algebra.
If everyone paid $3 the 5000 would pay 5000 x $3 = $15000
The extra $10000 must come from the extra $4 the adults pay
$10000 / $4 = 2500
So there must be 2500 adults and 2500 children

Answer 2

The number of children is 2500 and the number of adults that attended the game is also 2500.

Explanation:

Let us consider that, number of children be x and number of adults be y that attend game.

Since, total 5000 people attend the game.

It costs $3 for children and $7 for adults and the total takings at the door was $25000

Substitute value of x from equation 1 into equation 2.

So that,

Thus, the number of children is 2500 and the number of adults that attended the game is also 2500.