document.write( "Question 1120748: Hi
\n" ); document.write( "the total mass of A, B C D was 280kg. If the mass of A decreased by 30kg, the mass of B was increased by 10kg, the mass of C was halved and the mass of D was tripled, the 4 masses would be equal. Find the mass of each.\r
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Algebra.Com's Answer #736432 by Shin123(626)\"\" \"About 
You can put this solution on YOUR website!
\"a%2Bb%2Bc%2Bd=280\"\r
\n" ); document.write( "\n" ); document.write( "\"a=b%2B40\"\r
\n" ); document.write( "\n" ); document.write( "\"a-40=b\"\r
\n" ); document.write( "\n" ); document.write( "\"c=2b%2B20\"\r
\n" ); document.write( "\n" ); document.write( "\"d=c%2F6\" Substitute b+40 for a,\r
\n" ); document.write( "\n" ); document.write( "\"b%2B40%2Bb%2Bc%2Bd=280\"\r
\n" ); document.write( "\n" ); document.write( "\"2b%2B40%2Bc%2Bd=280\" Substitute 2b+20 for c,\r
\n" ); document.write( "\n" ); document.write( "\"2b%2B40%2B2b%2B20%2Bd=280\"\r
\n" ); document.write( "\n" ); document.write( "\"4b%2B60%2Bd=280\" Substitute (2b+20)/6 for d,\r
\n" ); document.write( "\n" ); document.write( "\"4b%2B60%2B%281%2F3%29b%2B%2810%2F3%29=280\"\r
\n" ); document.write( "\n" ); document.write( "\"%2813%2F3%29b%2B%28190%2F3%29=280\"\r
\n" ); document.write( "\n" ); document.write( "\"%2813%2F3%29b%2B%28190%2F3%29=840%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"%2813%2F3%29b=650%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=50%29\" \r
\n" ); document.write( "\n" ); document.write( "\"a-40=50\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28a=90%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=2%2850%29%2B20\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28c=120%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=120%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28d=20%29\" So the masses are a=90,b=50,c=120,and d=20. Check:90+50=140+120=260+20=280.90-30=60. 50+10=60. 120/2=60. 20*3=60. Correct.
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