Question

Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are

sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?

Answer 1

100 of the 20$ tickets, and 60 of the 35$ tickets

Explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct