Question

The admission fee at a small fair 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? Need help asap and broken down so I'll understand. Much appreciated

Answer 1

$x-\ children\\ y-\ adults\\\\ \left \{ {{x+y=2200} \atop {1,5x+4y=5050}} \right. \\\\x=2200-y\\\\Substitution:\\ 1,5(2200-y)+4y=5050\\ 3300-1,5y+4y=5050\ \ \ | subtract\ 3300\\\ 2,5y=1750\ \ \ | divide\ by\ 2,5\\\\y=700\\\\ There\ were\ 700\ adults \ and\ 1500\ children.$