contestada

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?

Respuesta :

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Answer:

195 adult tickets

Step-by-step explanation:

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

-We express our problem as:

[tex]a+c=340\ \ \ \ \ ...i\\\\7a+3c=1800\ \ \ \ \ \ \ ...ii[/tex]

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

[tex]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[/tex]

Hence, 195 adult tickets were sold.

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