document.write( "Question 872258: Any help would be appreciated,
\n" ); document.write( "Lisa is weighing combinations of children's blocks. Four blue blocks and five red blocks weigh 32 ounces. One blue block and eight red blocks weigh 35 ounces. What is the combined weight of one red block and one blue block?
\n" ); document.write( "Thank you:)
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Algebra.Com's Answer #526100 by mananth(16946)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "x= weight of blue blocks
\n" ); document.write( "y= weight of red blocks
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\n" ); document.write( "4 x + 5 y = 32 .............1
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\n" ); document.write( "1 x + 8 y = 35 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -8
\n" ); document.write( "Multiply (2) by 5
\n" ); document.write( "-32 x -40 y = -256
\n" ); document.write( "5 x + 40 y = 175
\n" ); document.write( "Add the two equations
\n" ); document.write( "-27 x = -81
\n" ); document.write( "/ -27
\n" ); document.write( "x = 3
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "4 x + 5 y = 32
\n" ); document.write( "12 + 5 y = 32
\n" ); document.write( " 5 y = 32 -12
\n" ); document.write( " 5 y = 20
\n" ); document.write( " y = 4
\n" ); document.write( "x= 3 weight of blue blocks
\n" ); document.write( "y= 4 weight of red blocks
\n" ); document.write( "m.ananth@hotmail.ca
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