document.write( "Question 1036534: Divide 76 into two parts so that two-thirds of one part is equalto 3/5 of the other part \n" ); document.write( "
Algebra.Com's Answer #651211 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
these are the 2 equations u are given in the word problem:
\n" ); document.write( "\"%282%2F3%29x=%283%2F5%29y\"
\n" ); document.write( "\"76=x%2By\"\r
\n" ); document.write( "\n" ); document.write( "I would start with solving 2nd equation for x
\n" ); document.write( "\"76-y=x\"
\n" ); document.write( "now plug into above equation
\n" ); document.write( "\"%282%2F3%29%2876-y%29=%283%2F5%29y\"
\n" ); document.write( "to not deal with alot of fractions multiply both sides by 3/2
\n" ); document.write( "\"76-y=%289%2F10%29y\"
\n" ); document.write( "add y to both sides
\n" ); document.write( "\"76=%2819%2F10%29y\"
\n" ); document.write( "multiply by 10
\n" ); document.write( "\"760=19y\"
\n" ); document.write( "divide by 19
\n" ); document.write( "\"highlight_green%2840=y%29\"
\n" ); document.write( "to find x simply substitute y value in the 2nd equation
\n" ); document.write( "\"76-y=x\"
\n" ); document.write( "\"76-40=x\"
\n" ); document.write( "\"highlight_green%2836=x%29\"
\n" ); document.write( "so lets check the question again Is two thirds of 36 equal to three fifths of 40?
\n" ); document.write( "2/3 of 36=(12+12+12) is 24
\n" ); document.write( "3/5 of 40=(8+8+8+8+8) is 24
\n" ); document.write( "yep this is correct.\r
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