Tickets for a concert were sold to adults for $3 and to students for $2. if the total receipts were $824 and 309 tickets were sold, then how many of the adult tickets were sold?

the number of adult tickets sold is 206

the number of student tickets sold is 103

Step-by-step explanation:

Let x represent the number of adult tickets sold.

Let y represent the number of student tickets sold.

Tickets for the concert were sold to adults for $3 and to students for $2. The total receipts were $824 This means that

3x + 2y = 824 - - - - - - - - - -1

The total number of tickets sold is 309. This means that

x + y = 309 - - - - - - - - - -2

Multiplying equation 1 by 1 and equation 2 by 3, it becomes

3x + 2y = 824

3x + 3y = 927

Subtracting

-y = -103

y = 103

Substituting y = 103 into equation 2, it becomes

x = 309 - y = 309 - 103

x = 206

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step-by-step explanation: