document.write( "Question 708630: hi math is not my best skill and i have tried and tried to get the correct answer for my homework, i was just wondering how to solve this problem: A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? with the elimination method.. thank you very much. \n" ); document.write( "
Algebra.Com's Answer #436179 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? \n" ); document.write( "----------- \n" ); document.write( "Quantity Equation: a + c = 8 persons \n" ); document.write( "Value Equation:: 12a+10c = 86 \n" ); document.write( "------- \n" ); document.write( "Modify: \n" ); document.write( "a + c = 8 \n" ); document.write( "6a + 5c = 43 \n" ); document.write( "----- \n" ); document.write( "Modify for elimination: \n" ); document.write( "6a + 6c = 6*8 \n" ); document.write( "6a + 5c = 43 \n" ); document.write( "----- \n" ); document.write( "Subtract to solve for \"c\": \n" ); document.write( "c = 5 (# of child tickets) \n" ); document.write( "---- \n" ); document.write( "Solve for \"a\": \n" ); document.write( "a + c = 8 \n" ); document.write( "a + 5 = 8 \n" ); document.write( "a = 3 (# of adult tickets) \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |