document.write( "Question 1126631: Tanya brought five adult tickets and one child's ticket to a movie for $31.80. Li brought two adult tickets and five children's tickets for $23.30. Find the cost of one adult ticket and the cost of one children's ticket. \n" ); document.write( "
Algebra.Com's Answer #742965 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 5a + 1c = 31.80 multiply all times 5 \n" ); document.write( "2a + 5c = 23.30 multiply all times -1 and add \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "25a + 5c = 159 \n" ); document.write( "+ \n" ); document.write( "-2a +-5c = -23.30 \n" ); document.write( "---------------- \n" ); document.write( "23a + 0c = 135.70 \n" ); document.write( "23a = 135.7 \n" ); document.write( "a = 5.90 adult tickets cost 5.90 each \n" ); document.write( "To find the cost of children's tickets I'll use the first equation: \n" ); document.write( "5a + 1c = 31.80 \n" ); document.write( "5(5.90) + 1c = 31.80 \n" ); document.write( "29.50 + c = 31.80 \n" ); document.write( "c = 2.30 \n" ); document.write( "Use the 2nd equation to check this answer: \n" ); document.write( "2a + 5c = 23.30 \n" ); document.write( "2(5.90) + 5(2.30) = \n" ); document.write( "11.80 + 11.50 = 23.30 Correct \n" ); document.write( " \n" ); document.write( " |