document.write( "Question 873750: One adult ticket and five children's tickets cost $31. Two adult tickets and eight children's tickets cost $53. How much does one adult ticket cost? How much does one children's ticket cost?
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Algebra.Com's Answer #527087 by LinnW(1048)\"\" \"About 
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set a = price of adult ticket
\n" ); document.write( " c = price of child ticket
\n" ); document.write( "a + 5c = 31
\n" ); document.write( "2a + 8c = 53
\n" ); document.write( "Working with a + 5c = 31 , add -5c to each side, a = 31 - 5c
\n" ); document.write( "Substitute (31 - 5c) for a in 2a + 8c = 53
\n" ); document.write( "2(31 - 5c) + 8c = 53
\n" ); document.write( "62 -10c + 8c = 53
\n" ); document.write( "62 -2c = 53
\n" ); document.write( "add -62 to each side
\n" ); document.write( " -2c = -9
\n" ); document.write( " c = 9/2 = 4.5
\n" ); document.write( "Substitute 9/2 for c in a = 31 - 5c
\n" ); document.write( "a = 31 - 5(9/2)
\n" ); document.write( "a = 31 - 45/2
\n" ); document.write( "a = 62/2 - 45/2
\n" ); document.write( "a = 17/2 = 8.5
\n" ); document.write( "Let's check our equations
\n" ); document.write( "a + 5c =? 31 , 8.5 + 5*4.5 , 8.5 + 22.5 , 31
\n" ); document.write( "2a + 8c =? 53 , 2(8.5) + 8(4.5) , 17 + 36 , 53
\n" ); document.write( "Our equations check so adults are 8.50 and children are 4.50\r
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