SOLUTION: Please help -- I came up with r=t-2/3(t) x $6+$3(2/3)(t), but I don't think that it is right. A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6

Question 99764: Please help -- I came up with r=t-2/3(t) x $6+$3(2/3)(t), but I don't think that it is right.
A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6, and a student ticket costs $4. Students who attend the school get a $1 discount. The club expects two-thirds of the student tickets to be discounted. Write an equation that gives the total revenue r (in dollars) as a function of the number (a) of adult tickets sold.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A drama club plans to sell 100 tickets to a school musical. An adult ticket costs $6, and a student ticket costs $4. Students who attend the school get a $1 discount. The club expects two-thirds of the student tickets to be discounted. Write an equation that gives the total revenue r (in dollars) as a function of the number (a) of adult tickets sold.
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Let number of adult tickets sold be "x" ; value of these is 6x dollars
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Number of student tickets sold is "100-x"
(2/3)(100-x) sell for 3 dollars; have a value of 3[(2/3)(100-x)]=200-2x
(1/3)(100-x) sell for 4 dollars; have a value of 4[(1/3)(x-100)]=(4/3)x-(400/3)
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EQUATION:
Revenue = 6x + 200-2x +(4/3)x-(400/3)
= (16/3)x +(200/3) dollars
==================
Cheers,
Stan H.
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