SOLUTION: 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 th

Question 453740: 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 72 houses available. The sales representative later indicates that there are five times as many homes available with the second floor plan than the first. Write a system of equations that illustrates this situation. Use x to represent floor plan #1 and y to represent floor plan #2.

Hint: Translate the problem into two linear equations by identifying keywords that represent a mathematical operation or symbol.

b) Use the system of equations from part 1a and solve this system using the substitution method to determine how many of each type of floor plan is available. Explain the steps you used to solve the problem.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x+y=72
y=5x
...
substitute y
x+5x=72
6x=72
x=12 floor plan 1
Balance, floor plan 2
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