Create an equation

Question

Zach and six of his friends are going to a baseball game. Their combined money totals $73.50. At the game hot dogs cost $2.25 each, hamburgers cost $3.50, and sodas cost $1.50. Each person buys one soda They all spend $73.50 on food and soda. Write an equation that can determine the number of hot dogs, x, and hamburgers, y, that zak and his friends can buy. Then determine how many different combinations containing zero, of hotdogs and hamburgers zak and his friends can buy, spending all $73.50.

Answer 1

They spend $9 on soda (6 x $1.50).

That leaves $64.50 for hot dogs and hamburgers.

2.25x + 3.50y = 64.50