)the admission fee at a small fair is $1.50 for children and $4 for adults. on a certain day 2,200 people enter the fair and $5,050 is collected. how many children and how many adults attended?

We can have two simultaneous equations here
where
let x represent children
and y represent adult
therefore
x+y=2200
1.5x+4y=5050
solving using substitution method 
y=2200-x
substituting this in the second equation we get 
1.5x+4(2200-x)=5050
1.5x+8800-4x=5050
3750=2.5x
x=1500
so we had 1500 children and 700 adults

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