Question

At a college basketball game 350 tickets were sold. Tickets cost $5
for children and senior citizens. $7 for students, and $10 for all others. The total income from ticket sales was $2,665. The combined number of $7 and $10 tickets sold was 6 times more than the number of $5 tickets sold. How many tickets of each type were sold?

Answer 1

Let
x = # $5 tickets
y = # $7 tickets
z = # $10 tickets
Now we have
x+y+z = 350
5x+7y+10z = 2665
y+z = 6x
Now just solve in the usual way