Question 227832
As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
----------------------------- 
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
Quantity Equation: x + y = 38
----------------------------- 
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
Value Equation: 175000x + 200,000y = 7200000
------------------------------------------------------- 
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
---
Multiply thru the Quantity equation by 175000 to get:
175000x + 175000y = 38*175000
---
Subtract that equation from the value equation and solve for "y":
25000y = 720000-38*175000 
y = 22 (# of #2 floor-plan houses)
x = 38-y = 38-22 = 16 (# of #1 floor-plan houses)
======================================================
Comment: You many not realise it but these word problems are
attempting to get you to a new level of reading ability.  It
would be like me trying to read a medical text---I would find
out that "I cannot read".
======================================================
Cheers,
Stan H.