SOLUTION: I have a worksheet that I need help on. It is a word problem: Afurniture company displays bedroom sets which require 21 square meters of space and living room sets which requ

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Question 161527: I have a worksheet that I need help on.
It is a word problem:
Afurniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space. The company, which has 546 square meters of available space, wants to display at least 6 bed room sets and at least 5 living room sets.
Let x represent the number of bedroom sets and y represent the number of living room sets. Write a system of inequalities to represent the number of furniture sets that can be displayed.
Show all work.
Please help
Thanks

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= number of bedroom sets
Let y= living room sets
The company, wants to display at least 6 bed room sets and at least 5 living room sets.
Then
x%3E=6
y%3E=5
The company has 546 square meters of available space,
bedroom sets requires 21 square meters of space and living room sets requires 42 square meters of space.
then 21x%2B42y%3C=546
Answer: system is:
21x%2B42y%3C=546
x%3E=6
y%3E=5