Wednesday
September 3, 2014

Homework Help: Algebra

Posted by It's me :) on Monday, February 2, 2009 at 12:27am.

I keep confusing myself when I look at this word problem. I am not sure if I am setting it up correctly. Any advice would be appreciated. It has several parts to it.

1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan
#2. Write an equation that illustrates the situation.

would this be x+y=56

b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.

would this be x+3y=56?

c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.

Now here is where I get confused looking at it I believe the answer is x=14 and y=42 I am just not sure how to set it up in an algebra equation to solve with the substitution method.

d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?

would x and y intercept eachother at 56?

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