Question

The ticket to a ballet cost either $25 or $50. A total of 1,250 tickets , worth $50,000, were sold. If x represents the number of $25 tickets and y represents the number of $50 tickets , which system of linear equations can be used to find the number of each ticket sold ?

Answer 1

Let's assume

x represents the number of $25 tickets

y represents the number of $50 tickets

A total of 1,250 tickets

so, we get

`x+y=1250`

So, cost of $25 tickets is 25x

So, cost of $50 tickets is 50y

Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)

Total cost of tickets =25x+50y

we are given

worth $50,000, were sold

so, we get equation as

`25x+50y=50000`

we get system of equations as

`x+y=1250`

`25x+50y=50000`..............Answer