document.write( "Question 907659: Let y be 10% of a number. What is 50% of the number? Write your answer in terms of y.
\n" ); document.write( "Can you please show with process so I can understand it. \n" ); document.write( "
Algebra.Com's Answer #550475 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
if y is equal to 10% of the number, then y * 5 = 50% of the number because 5 * 10% = 50%.\r
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\n" ); document.write( "\n" ); document.write( "that's the logical interpretation.\r
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\n" ); document.write( "\n" ); document.write( "the algebraic interpretation can be as follows:\r
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\n" ); document.write( "\n" ); document.write( "y = .10 * x
\n" ); document.write( "solve for x to get x = y/.10\r
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\n" ); document.write( "\n" ); document.write( "z = .50*x
\n" ); document.write( "replace x with y/.10 to get:
\n" ); document.write( "z = .50*y/.10
\n" ); document.write( "simplify to get:
\n" ); document.write( "z = 5*y\r
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\n" ); document.write( "\n" ); document.write( "in the first equation, you're letting y = .10 * x
\n" ); document.write( "in the second equation, you're letting z = .50 * x
\n" ); document.write( "you solve for x in the first equation to get x = y/.10
\n" ); document.write( "you replace x with y/.10 in the second equation to get z = 5*y\r
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\n" ); document.write( "\n" ); document.write( "the logical interpretation and the algebraic interpretation agree.
\n" ); document.write( "this is good.\r
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