Question

At a firefighters' pancake breakfast, the firefighters served 340 people and raised $1800. If the cost of a, an adult's ticket to the pancake breakfast, was $7 and the cost of c, a child's ticket, was $3, what was the number of adult tickets sold?

Answer 1

195 adult tickets

Explanation:

Given that a is the number of adult tickets and c the number of child tickets.

-We express our problem as:

`a+c=340\ \ \ \ \ ...i\\\\7a+3c=1800\ \ \ \ \ \ \ ...ii`

We make the subject of the formula in i and substitute in ii:

`a=340-c\\\\\\\therefore 7(340-c)+3c=1800\\\\2380-7c+3c=1800\\\\2380-1800=7c-3c\\\\580=4c\\\\c=145\\\\\\a=340-145=195`

Hence, 195 adult tickets were sold.