a) The sales representative here tells you they also have two floor plans available, but they only have 54 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
X+Y=54 or Y=(54-x)with the substitution.
b) The representative tells you that floor plan #1 sells for $180,000 and floor plan #2 sells for $250,000. She also mentions that all the available houses combined are worth $11,400,000. Write an equation that illustrates this situation. Use the same variables you used in part A.
180,000x+250,000y=11,400,000
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
Substitute (54-x) for y, find x
180,000x + 250,000(54-x)=11,400,000
180,000x + 1,350,0000- 250,000 = 11,400,000
180,000x – 250,000=11,400,000-1,350,000
70,000x= 10,050,000
X=
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 Lifters charges a fixed $100 fee plus $45 per hour. Quick Move charges $85 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 5 hours of work? How did you arrive at your answer?
1 answer