# Algebra 1

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I am kinda confused on this can someone help me?
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.

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.

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.

Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

• Algebra 1 -

first equation : x + y = 38
second equation: 175000x + 200000y = 7200000 which reduces to 7x + 8y = 288

multiply the firs equation by 7

7x + 7y = 266
subtract that from the second equation

7x+8y = 288
7x+7y = 266
y = 22
sub back into the first equation
x + y = 38
x + 22 = 38
x = 16

• Algebra 1 -

3. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an \$80 fee plus \$35 per hour. Quick Move charges \$55 per hour with no additional fees.

• Algebra 1 -

4x^2-9=11

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