Problema Solution

Tickets for a concert sold at $26 each and $36 each. Four times as many $26 tickets were sold as $36 tickets. Total revenue from the sale of tickets was $28,000. How many tickets of each were sold?

Answer provided by our tutors

let


x = the number of $26 tickets sold

y = the number of $36 tickets sold


4 times as many $26 tickets were sold as $36 tickets


x = 4y


total revenue from the sale of tickets was $28,000


26x + 36y = 28000


by solving the system of equations


x = 4y

26x + 36y = 28000


we find


x = 800 tickets


y = 200 tickets


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800 tickets by the price of $26 were sold.

200 tickets by the price of $36 were sold.