document.write( "Question 662016: Last month I was Movie Master of the Month Club. I bought some adult tickets at $7 each and some children's tickets at $5 each. I spent a total of $104. How many of each kind of ticket did I buy? \n" ); document.write( "
Algebra.Com's Answer #411883 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x = adult \n" ); document.write( "y = children's \n" ); document.write( "7x+5y=104 \n" ); document.write( "any multiple of 5 will end with 0 or 5 \n" ); document.write( "subtract multiples of 7 from 104 until getting an integer ending in 0 or 5 \n" ); document.write( "x could be 2 or 7 or 12 \n" ); document.write( "7(2) + 5y = 104 \n" ); document.write( "14 + 5y = 104 \n" ); document.write( "5y = 90 \n" ); document.write( "y = 18 \n" ); document.write( "2 adults, 18 children's \n" ); document.write( "OR \n" ); document.write( "7(7) + 5y = 104 \n" ); document.write( "49 + 5y = 104 \n" ); document.write( "5y = 55 \n" ); document.write( "y = 11 \n" ); document.write( "7 adults, 11 children's \n" ); document.write( "OR \n" ); document.write( "7(12)+ 5y = 104 \n" ); document.write( "84 + 5y = 104 \n" ); document.write( "5y = 20 \n" ); document.write( "y = 4 \n" ); document.write( "12 adults, 4 children's \n" ); document.write( " |