document.write( "Question 1114004: 1250 persons went to see a circus-show. Each adult paid ₹75 and each child paid ₹25 for the admission ticket. Find the number of adults and number of children, if the total collection from them amounts to ₹61,250\r
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Algebra.Com's Answer #729012 by rothauserc(4718)\"\" \"About 
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let a be the number of adults and c be the number of children
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\n" ); document.write( "1) a + c = 1250
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\n" ); document.write( "2) 75a + 25c = 61250
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\n" ); document.write( "solve equation 1 for a
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\n" ); document.write( "a = 1250 - c
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\n" ); document.write( "substitute for a in equation 2
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\n" ); document.write( "75(1250-c) +25c = 61250
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\n" ); document.write( "93750 -75c +25c = 61250
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\n" ); document.write( "-50c = -32500
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\n" ); document.write( "c = 650
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\n" ); document.write( "a = 1250 - 650 = 600
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\n" ); document.write( "number of adults is 600 and number of children is 650
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\n" ); document.write( "check the answer with equation 2
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\n" ); document.write( "75(600) + 25(650) = 61250
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\n" ); document.write( "45000 + 16250 = 61250
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\n" ); document.write( "61250 = 61250
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