# Math 116

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Q1) there are two plans available, but they only have 38 homes available. write an equation that illustrates the situation. use x and y to denote plan 1 and plan 2.
A1) X+Y=38

Q2)Plan 1 sells for \$175,000 and plan 2 sells for \$200,000. All available houses combined are worth \$7,200,000.
What is the equation using same variable from (a).
A2) 175,000X+200,000Y=7,200,000

Q3)Use elimination to determine how many houses in each floor plan available. Explain how you got the answer.
A3) X=38-Y, so you can substitute that into the second equation:
175,000(38-Y)+200,000Y=7,200,000

6,650,000-175,000Y+200,000Y=7,200,000
6,650,000+25,000Y=7,200,000
25,000Y=7,200,000-6,650,000
25,000Y=550,000
Y=22.

So 38-22=16 houses sold for 175,000 and 22 houses for 200,000.

Is this correct?

• Math 116 -

Yes! Nice work!

• Math 116 -

good job carmen! way to go!

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