# 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?

$103$ students
$206$ adults
I am not sure but I suppose that they received $824 from the selling of the tickets. Let us call the number of adults $a$and students $s$. We get: $3 a + 2 s = 824$and $a = 2 s$we get substituting into the first: $3 \left(2 s\right) + 2 s = 824$$6 s + 2 s = 824$$8 s = 824$$s = \frac{824}{8} = 103$students and so: $a = 2 s = 2 \cdot 103 = 206\$ adults.