Question

All 12 members of the glee club went to eat at the hibachi grill restaurant. The chicken costs $10 per person, while the beef costs $14 per person. At the end of the evening, the club members received a bill for $136, not including tax.

Answer 1

-4 chickens.

-8 beef plates

Explanation:

Let x denote a chicken dish and y denote a beef dish.

-Assume that every member only had one dish of either chicken or beef.

#The problem is then represented as:

`x+y=12, =>x=12-y\ \ \ \ \ \ ...i\\\\10x+14y=136\ \ \ \ \ \ \ \ \ ...ii\\\\\#substitute \\10(12-y)+14y=136\\\\120-10y+14y=136\\\\2y=16\\\\y=8\\\\\therefore x=12-8=4`

Hence, the memebers had a total of 4 chicken dishes and 8 beef dishes