SOLUTION: Construct a mathematical model to describe the following problem. Use the gauss jordan elimination method to solve the model. Ben ordered 26 pizzas for the office party. He ord

Question 818530: Construct a mathematical model to describe the following problem. Use the gauss jordan elimination method to solve the model.
Ben ordered 26 pizzas for the office party. He ordered three types of pizzas: cheese, pepperoni, and supreme. The cheese pizzas cost 6 dollars each, the pepperoni cost 9 dollars each, and the supreme pizzas cost 12 dollars each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If ben spent a total of $222 on pizza, how many pizzas of each type did he buy?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Could you use help but not the actual solution?
Let p = how many pepperoni pizzas,
c = how many of cheese,
s = how many of supreme.

Using the given prices and from the description that , write an equation to account for cost and write an equation to account for the count of the pizzas. You will have three equations and three unknowns, but you would or could try to eliminate one of them and have a system of two equations in two unknowns; seems more than one way to go.

In any case, simplify that described equation , into , and then write and use the count and cost equations.

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A little more:
and which are also based on the problem's descriptions. A good plan from here would be solve for one of the variables in 3p=8s and substitute the resulting formula into the cost and count equations; and you would have a system of two equations with two unknowns - easier to solve, and probably more comfortable than using matrices.
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