document.write( "Question 1114236: The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Josh purchased 9 tickets (some students and some adults) for $31. Write a systems of equations used to find a, the number of adult tickets, and s, the number of student tickets Josh purchased.
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document.write( "Find the cost of ticket for each student and adult as well.\r
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document.write( "I do not understand how I am supposed to solve this problem. Do I write the system of equation as \r
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document.write( "4a*9=31
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document.write( "3s*9=31\r
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document.write( "Thanks for your help!\r
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Algebra.Com's Answer #729224 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) a + s = 9 \n" ); document.write( ": \n" ); document.write( "2) 4a + 3s = 31 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for a \n" ); document.write( ": \n" ); document.write( "a = 9 - s \n" ); document.write( ": \n" ); document.write( "substitute for a in equation 2 \n" ); document.write( ": \n" ); document.write( "4(9 - s) + 3s = 31 \n" ); document.write( ": \n" ); document.write( "36 - 4s + 3s = 31 \n" ); document.write( ": \n" ); document.write( "-s = -5 \n" ); document.write( ": \n" ); document.write( "s = 5 \n" ); document.write( ": \n" ); document.write( "a = 9 - 5 = 4 \n" ); document.write( ": \n" ); document.write( "************************************************************ \n" ); document.write( "Josh bought 4 adult tickets and 5 student tickets \n" ); document.write( ": \n" ); document.write( "check answer with equation 2 \n" ); document.write( ": \n" ); document.write( "4(4) + 3(5) = 31 \n" ); document.write( ": \n" ); document.write( "16 + 15 = 31 \n" ); document.write( ": \n" ); document.write( "31 = 31 \n" ); document.write( ": \n" ); document.write( "our answer checks \n" ); document.write( ": \n" ); document.write( "from equation 2, we see that \n" ); document.write( ": \n" ); document.write( "Josh spent $16 on adult tickets and $15 on student tickets \n" ); document.write( "************************************************************ \n" ); document.write( ": \n" ); document.write( " |