SOLUTION: Could you please help me solve this problem I am not very good with word problem. As you are leaving the community, you notice another new community jus down the street. Becau

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Question 133710: Could you please help me solve this problem I am not very good with word problem.
As you are leaving the community, you notice another new community jus down the street. Because yu 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 equationthat illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
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 7,2000,000. Write an equaton that illustrates this situation. Use the same variable you used in part a.
c) Use elimination to determin how many houses with each floor plan are available. Explain how you arrived at your answer.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The sales representative here tells you they also have two floor plans available, but they only have 38 homes available.
Let x be floor plan 1. Let y be floor plan 2.
Then:
38+=+x+%2B+y+

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 7,2000,000.
totalWorth+=+HousesWithFloorPlan1+%2B+HousesWithFloorPlan2+
7200000+=+x+%28175000%29+%2B+y+%28200000%29+ divide by 25000
288+=+7x+%2B+8+y+
Use elimination to determin how many houses with each floor plan are available.
38+=+x+%2B+y+
288+=+7x+%2B+8+y+
Multiple the first equation by -7
38%2A%28-7%29+=+-7x+-+7y+ == -266+=+-7x+-+7y+
Add the two equations
-266+=+-7x+-+7y+
288+=+++7x+%2B+8+y+
-------------------------
+22+=+y+
Substitute y back into the original first equation:
38+=+x+%2B+y+
+38+=+x+%2B+22+
+16+=+x+
Now check your answer.
16%2A%28175000%29+%2B+22%2A%28200000%29 = 7200000 Check!