document.write( "Question 391393: Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusment park. Max's family spent $146 on 3 adult tickets and 2 youth tickets. What is the price of a youth ticket? \n" ); document.write( "

Algebra.Com's Answer #277692 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "This question Sets Up two equations with 2 unknowns        
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document.write( "Let x and y represent the cost of the youth and adult ticket respectively
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document.write( "Question states***
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document.write( " 3x + 2y = $134   
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document.write( " 2x + 3y = $146
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document.write( "using elimination to solve for x
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document.write( " 9x +6y = 3*134    | Multiplying 1st equation by 3
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document.write( "-4x -6y = -2*146   | Multiplying 2nd equation by -2\r
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document.write( "    5x = 3*134 - 2*146
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document.write( "    5x = $110
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document.write( "     x = $22,  the cost of the youth ticket\r
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document.write( "CHECKING our Answer*** ($34 being the cost of the adult ticket) y = (134-3*22)/2
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document.write( "  3*$22 + 2*$34 = $66 + $68 = $134 \n" );
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