Thread: [SOLVED] Word Problem - Solve by Substitution

Please help... Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold.

I'm having problems setting up equation. Thanks.

Here is how to set up the equations:

x = number of adult tickets sold
y = number of student tickets sold

3x + 2y = 824
x = 2y

now you can substitute eq2 into eq1

3(2y) + 2y = 824
8y = 824
y = 103 tickets
and therefore
x = 206 tickets