document.write( "Question 658736: The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers? \n" ); document.write( "

Algebra.Com's Answer #410456 by stanbon(75887) $\"\"$ $\"About$

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The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y + z = 94
\n" ); document.write( "x = (3/5)y
\n" ); document.write( "y = (4/3)z
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\n" ); document.write( "Substitute for \"x\" and \"Z\" and solve for \"y\":
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\n" ); document.write( "(3/5)y + y + (3/4)y = 94
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\n" ); document.write( "Multiply thru by 20 to get:
\n" ); document.write( "12y + 20y + 15y = 94*20
\n" ); document.write( "47y = 94*20
\n" ); document.write( "y = 2*20
\n" ); document.write( "y = 40
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\n" ); document.write( "x = (3/5)y = 24
\n" ); document.write( "z = (3/4)y = 30
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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