Question 854177: the admission fee at a small fair is $1.50 for children and $4 for adults. on a certain day 2200 people enter the fair and $5050 is collected how many children and adults attended
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! This kind of linear system question happens so often in instruction that maybe a generalization would be useful.
x number of children attend the fair
y number of adults attend the fair
L ticket price for children, $1.50
H ticket price for adults, $4.00
R revenue of ticket sales collected, 5050 dollars
p how many tickets or people attended the fair, 2200 people
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Note, the variables to be solved are x and y.
Equations to be formed, without explanation are these:
 and 
As written, solve for x and y, completely in symbols. If you were to immediately substitute the given values, for most academic exercises, often you find that the resulting computations were designed to be very convenient. The real world does not pick convenient values for you, so I am keeping completely in symbols to solve for x and y.
MY choice is to use substitution.
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 so then  ;
 ------One of your formulas as a solution. Children's tickets sold.
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Again from ,  so then  ;
 -------The other formula as a solution. Adult tickets sold.
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