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## Homework Statement

"A company has a budget of $280,000 for computing equipment. Three

types of equipment are available: microcomputers at $2000 a piece,

terminals at $500 a piece, and word processors at $5000 a piece. There

should be five times as many terminals as microcomputers and two

times as many microcomputers as word processors. Set this problem up

as a system of three linear equations. Determine approximately how

many machines of each type there should be by solving by trial-and-error.

Note: Check your answer by expressing the numbers of terminals and

microcomputers in terms of the number of word processors and solving

the remaining single equation in one unknown . "

[/B]

## Homework Equations

How would I represent this problem as three linear equations[/B]

## The Attempt at a Solution

I believe that I was able to solve the problem algebraically : number of microcomputers 40, number of word processors is 20, and the number of terminals is 200 but I'm not sure about how to express it as a series of three linear equations.

So far this is what I have :

Let x be the number of microcomputers

Let y be the number of terminals

Let z be the number of word processors

2000x+500y+5000z = 280,000

y = 5x

x = 2z

Should the previous three lines suffice?[/B]