Question

A total of 60 tickets were sold for an concert and earn the organizers $540. If the cost of each ticket is either $6 or $10, how many tickets of each type were sold?

Answer 1

$6 tickets: 16; $10 tickets: 45

Explanation:

We need a system of equations to find the number of each type of ticket sold.

Thus, we have
`x+y=60`, where x = the number of $6 tickets and y = the number of $10 tickets

We also have
`6x+10y=540`

We can use the elimination method to find y:

`x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15`