Question 356334: For the band concert,students tickets cost $2 and adult tickets cost $5.a total of 200 tickets were sold . If the total sales were more than $500 , what was the minimum number of adult tickets sold ?
A 30 B 33 C 34 D 40
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website! For the band concert,students tickets cost $2 and adult tickets cost $5.a total of 200 tickets were sold . If the total sales were more than $500 , what was the minimum number of adult tickets sold ?
We'll start out pretending that the total sales were exactly $500 (as though
fractions of people could by fractions of tickets:
So we solve this system:
and get  or  student tickets and  or 
But they must be whole numbers not fractions. So we try
s = 166 and a = 33
s = 166 and a = 34
s = 167 and a = 33
s = 167 and a = 34
to see which gives the minimum amount over $500
s = 166 and a = 33, 2s + 5a = $492, not enough
s = 166 and a = 34, 2s + 5a = $502, may be the minimum
s = 167 and a = 33, 2s + 5a = $499, not enough
s = 167 and a = 34, 2s + 5a = $504, so $502 is the minimum
To exceed $500, minimum is when 166 student tickets, and 34 adult tickets are sold.
Answer: 34 is the minimum number of adult tickets that could be sold
and the intake be more than $500.
Edwin
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