document.write( "Question 408437: Brenda plans to make blue and purple scarfs in 2 two sizes: medium and large. She has a total of 60 yards of fabric for each color. She will need 1/4 of a yard for medium scarves and will need 1/2 a yard for large scarves. She also wants to add ribbon as a trimming to her scarves. She has a total of 240 yards of ribbon in each color. For the medium scarves, she will need 1 yard of ribbon and for the large, 2 yards. Set up two equations to solve for the number of scarves per color that can be made. \r
\n" ); document.write( "\n" ); document.write( "I am unsure of the equation to use. \r
\n" ); document.write( "\n" ); document.write( "Thus far, I have:
\n" ); document.write( "m=medium scarves and l=large scarves\r
\n" ); document.write( "\n" ); document.write( "1/4x+1/2y=60
\n" ); document.write( "1x+2y=240\r
\n" ); document.write( "\n" ); document.write( "This does not look like the appropriate form. Am I on the right track?\r
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Algebra.Com's Answer #287757 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Brenda plans to make blue and purple scarfs in 2 two sizes: medium and large.
\n" ); document.write( " She has a total of 60 yards of fabric for each color.
\n" ); document.write( " She will need 1/4 of a yard for medium scarves and will need 1/2 a yard for large scarves.
\n" ); document.write( " She also wants to add ribbon as a trimming to her scarves.
\n" ); document.write( " She has a total of 240 yards of ribbon in each color.
\n" ); document.write( " For the medium scarves, she will need 1 yard of ribbon and for the large, 2 yards.
\n" ); document.write( " Set up two equations to solve for the number of scarves per color that can be made.
\n" ); document.write( ":
\n" ); document.write( "I think you have the right idea here.
\n" ); document.write( "Developing what you already have: x = med scarves, y = lg scarves
\n" ); document.write( ".25x + .5y = 60; fabric eq:
\n" ); document.write( "and
\n" ); document.write( "1x + 2y = 240; ribbon eq:
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\n" ); document.write( "If you multiply the 1st equation by 4, both equations are the same, there is no unique solution
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\n" ); document.write( "There are many solutions, we can find the number of each size like this:
\n" ); document.write( "x = 240-2y
\n" ); document.write( "For example if you have 50 lg scarves, y = 50
\n" ); document.write( "x = 240-2(50)
\n" ); document.write( "x = 240 - 100
\n" ); document.write( "x = 140 med scarves
\n" ); document.write( "or
\n" ); document.write( "If you have 80 lg scarves, y = 80
\n" ); document.write( "x = 240-2(80)
\n" ); document.write( "x = 240 - 160
\n" ); document.write( "x = 80 med scarves
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\n" ); document.write( "You can see that both these x,y values will satisfy your original equations.\r
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