SOLUTION: adult tickets to the museum cost 5 dollars while student tickets cost 3 dollars. If 120 tickets were sold for a total of 500 dollars, how many of each were sold

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Question 948600: adult tickets to the museum cost 5 dollars while student tickets cost 3 dollars. If 120 tickets were sold for a total of 500 dollars, how many of each were sold
Answer by macston(5194) About Me  (Show Source):
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adult tickets to the museum cost 5 dollars while student tickets cost 3 dollars. If 120 tickets were sold for a total of 500 dollars, how many of each were sold
A=number of adult tickets; S=number of student tickets
A+S=120 Solve this for A and substitute in next equation.
A=120-S
$5A+$3S=$500
$5(120-S)+$3S=$500
$600-$5S+$3S=$500 Subtract $500 from each side.
$100-$2S=0 Add $2S to each side.
$100=$2S Divide each side by $2.
50=S There were 50 student tickets sold.
A+S=120
A+50=120 Subtract 50 from each side.
A=70 ANSWER 2: There were 70 adult tickets sold.
CHECK
$5A+$3S=$500
$5(70)+$3(50)=$500
$350+$150=$500
$500=$500