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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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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With the number of adults being A, and children, C, we get: A + C = 1,250 ------- eq (i)
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document.write( "                                                          75A + 25C = 61,250 ---- eq (ii)
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document.write( "The easiest approach is to DIVIDE eq (ii) by its GCF, which is 25. This gives you:
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document.write( "3A + C = 2,450 ------ eq (ii)
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document.write( "Now, SUBTRACT eq (i) from the MODIFIED form of eq (ii) to ELIMINATE C and get: 2A = 1,200
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document.write( "A, or number of adults = 
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document.write( "600 + C = 1,250 ------- Substituting 600 for A in eq (i)
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document.write( "C, or number of children =  \n" );
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