Suppose you are in the market for a new home and areinterested in a new housing

Question

Suppose you are in the market for a new home and areinterested in a new housing community under construction in adifferent city. A). The sales representative informs you that there are twofloor plans still available, and that there are a total of 70houses avaiable. Use x to represent floor plan #1 and y torepresent floor plan #2. Write an equation that illustrates thesituation. B) The sales representative later indicates that there are 4times as many homes available with the second floor plan than thefirst. Write an equation that illustrates this situation. Use thesame variables you used in part a. C) Use the equations from part a and b of this exercise as asystem of equations. Use substitution to determine how many of eachtype of floor plan is available. Show all detailedcalculations. Suppose you are in the market for a new home and areinterested in a new housing community under construction in adifferent city. A). The sales representative informs you that there are twofloor plans still available, and that there are a total of 70houses avaiable. Use x to represent floor plan #1 and y torepresent floor plan #2. Write an equation that illustrates thesituation. B) The sales representative later indicates that there are 4times as many homes available with the second floor plan than thefirst. Write an equation that illustrates this situation. Use thesame variables you used in part a. C) Use the equations from part a and b of this exercise as asystem of equations. Use substitution to determine how many of eachtype of floor plan is available. Show all detailedcalculations.

Explanation / Answer

From point A, it is clear that x+y = 70

From B, y=4x

Substituting the value of y in eqn 1, we get x+4x=70

5x=70

x=14 and y = 56

For floor plan #1 14 houses are available and for floor plan # 2, 56 values are available

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