document.write( "Question 148181: 7) Tickets for a play at the community theater cost $20 for an adult and $8 for a child. If 220 tickets were sold and the total receipts were $3200, how many of each type of ticket were sold?\r
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document.write( "Can someone please help?\r
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document.write( "v/r
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document.write( "Jess \n" );
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Algebra.Com's Answer #108579 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tickets for a play at the community theater cost $20 for an adult and $8 for a child. If 220 tickets were sold and the total receipts were $3200, how many of each type of ticket were sold? \n" ); document.write( "---------- \n" ); document.write( "Using two variables \n" ); document.write( "Quantity Equation: a + c = 220 \n" ); document.write( "Value EQUATION: 20a + 8c = 3200 \n" ); document.write( "--------------------- \n" ); document.write( "Modify to use elimination: \n" ); document.write( "20a + 20c = 4400 \n" ); document.write( "20a + 8c = 3200 \n" ); document.write( "------------------- \n" ); document.write( "Subtract to solve for \"c\" \n" ); document.write( "12c = 1200 \n" ); document.write( "c = 100 (# of child tickets) \n" ); document.write( "-------- \n" ); document.write( "Substitute to solve for \"a\": \n" ); document.write( "a+c = a+100 = 220 \n" ); document.write( "a = 120 (# of adult tickets) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |