Question

The admission fee at a small is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected.
How many children and how many adults attended?

Solve using systems of equations.

Answer 1

$x-\ amount\ of\ children\\ y-\ amount\ of\ adults\\\\ \left \{ {{x+y=2200\ \ |*(-4)} \atop {1,5x+4y=5050}} \right.\\\\ \left \{ {{-4x-4y=-8800} \atop {1,5x+4y=5050}} \right.\\\\ +-------\\ -2,5x=-3750\ \ |Divide\ by\ -2,5\\ x=1500\\ y=2200-1500\\ y=700\\\\There\ were\ 1500\ children\ and\ 700\ adults.$