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3 years ago

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.

Mathematics

1 answer:

Finger [1]3 years ago

4 0

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

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