document.write( "Question 357186: need some help with this question please.\r
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document.write( "a stadium has two sections A and B . Tickets for section A cost $a and tickets for section B cost cost $b.
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document.write( " johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket\r
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document.write( "i)write two equations in a and b to represent the information above.\r
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document.write( "ii) calculate the values of a and b. \n" );
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Algebra.Com's Answer #255083 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Tickets for section A cost $a and tickets for section B cost cost $b. \n" ); document.write( "johana piad $105 for 5 section A tickets and 3 section B tickets. raiyah paid $63 for 4 section A tickets and 1 section B ticket \n" ); document.write( "i)write two equations in a and b to represent the information above. \n" ); document.write( "Value Eq:::: 5a + 3b = 105 dollars \n" ); document.write( "Value Eq:::: 4a + b = 63 dollars \n" ); document.write( "-------------------- \n" ); document.write( "ii) calculate the values of a and b. \n" ); document.write( "Modify the equations: \n" ); document.write( "Multiply thru the 1st equation by 4. \n" ); document.write( "Multiply thru the 2nd equation by 5. \n" ); document.write( "20a + 12b = 4*105 \n" ); document.write( "20a + 5b = 5*63 \n" ); document.write( "------------------------ \n" ); document.write( "Subtract the lower from the upper equation: \n" ); document.write( "7b = 105 \n" ); document.write( "b = 17 (price of section B tickets) \n" ); document.write( "---- \n" ); document.write( "Substitute and solve for \"a\": \n" ); document.write( "4a + 17 = 63 \n" ); document.write( "4a = 46 \n" ); document.write( "a = 11.50 (price of section A tickets) \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |