Question

Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?

Please Help!!​

Answer 1

140 child tickets were sold

Explanation:

a = number of adult tickets

c = number of child tickets

a+c = 350

6.50 c + 8.50a = 2695

Multiply the first equation by -8.50 together

-8.50c -8.50c =-2975

Add this to the second equation to eliminate a

-8.50c -8.50c =-2975

6.50 c + 8.50a = 2695

---------------------------------

-2c + 0a = -280

Divide by -2

-2c/-2 = -280/-2

c = 140