Question 135667
(a) The sales rep. 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. 
EQUATION:
x+y = 56
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(b) The sales rep. later indicates that there are 3 times as many homes available with the 2nd floor plan than the first. Write an equation that illustrates this situation.
EQUATION:
x = (1/3)y
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 Use the same variables you used in part a. 
(c) Use the equations from part a and b as a system of equations, and solve via substitution.
EQUATION: (1/3)y+y = 56
(4/3)y = 56
(1/3)y = 14
y = 42 (# of #2 floor plan houses)
x = (1/3)42 = 14 (# of #1 floor plan houses)
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Cheers,
Stan H.