SOLUTION: A contractor buys 15 yd2 of nylon carpet and 26 yd2 of wool carpet for $1345. A second purchase, at the same prices, includes 10 yd2 of nylon carpet and 20 yd2 of wool carpet for $

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Question 1179776: A contractor buys 15 yd2 of nylon carpet and 26 yd2 of wool carpet for $1345. A second purchase, at the same prices, includes 10 yd2 of nylon carpet and 20 yd2 of wool carpet for $990. Find the cost per square yard of the wool carpet.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
n nylon price
w wool price

Do what you know or need.

Try simplify first.



next might try sub for n.





keep going,...
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
A contractor buys 15 yd2 of nylon carpet and 26 yd2 of wool carpet for $1345.
A second purchase, at the same prices, includes 10 yd2 of nylon carpet and 20 yd2 of wool carpet for $990.
Find the cost per square yard of the wool carpet.
~~~~~~~~~~~~~~~~ 

Write equations as you read 


    15N + 26W = 1345       (1)

    10E + 20G =  990       (2)


You need find W.  Use the determinant method (the Cramer's rule)



    W =  = 35  dollars.    ANSWER

Solved.

Do not be scared seeing this long formula filled with numbers.
You can get the answer in  ONE  CLICK  copying this formula into  Excel spreadsheet
or using this convenient online calculator www.desmos.com

---------------

On the  Determinants' method for solving systems of two linear equations in two unknowns see the lesson
    - Solution of the linear system of two equations in two unknowns using determinant
in this site.

Also,  you have this free of charge online textbook in  ALGEBRA-I  in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



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