document.write( "Question 1033508: a student has a x sweet. she gives 20 to her friends. if one-third of the reminder is equal to one-fifth of the original number of sweets, find the original number of sweets \n" ); document.write( "
Algebra.Com's Answer #648137 by macston(5194)\"\" \"About 
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\n" ); document.write( "\"%281%2F3%29%28x-20%29=x%2F5\" . Multiply each side by 3
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\n" ); document.write( "\"x-20=3x%2F5\" . Multiply each side by 5
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\n" ); document.write( "\"5x-100=3x\" . Subtract 3x from each side
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\n" ); document.write( "\"2x-100=0\" . Add 100 to each side
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\n" ); document.write( "\"2x=100\" Divide each side by 2
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\n" ); document.write( "\"x=50\"
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\n" ); document.write( "ANSWER: The original number of sweets was 50.
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\n" ); document.write( "CHECK:
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\n" ); document.write( "\"%281%2F3%29%2850-20%29=%281%2F5%29%2850%29\"
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\n" ); document.write( "\"1%2F3%2830%29=10\"
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\n" ); document.write( "\"10=10\"
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