document.write( "Question 122354: The Diaz family went to the Dizzy Amusement park. The tickets cost $73 for 3 adults and 5 children. The Anderson family paid $93 for 7 adults and 2 children. The Owens-Faulkner family reunion will need tckets for 55 adult and 53 children. What will the total cost for the Owens-Faulkner family reunion to enter the amusement park?[No group discounts were given.] \n" ); document.write( "
Algebra.Com's Answer #89962 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The Diaz family went to the Dizzy Amusement park. The tickets cost $73 for 3 adults and 5 children. The Anderson family paid $93 for 7 adults and 2 children. \n" ); document.write( ": \n" ); document.write( "Use the first two statements of find the individual price for adults & children \n" ); document.write( ": \n" ); document.write( "Let a = adult's price \n" ); document.write( " and \n" ); document.write( "c = children's price \n" ); document.write( ": \n" ); document.write( "Diaz equation: \n" ); document.write( "3a + 5c = 73 \n" ); document.write( ": \n" ); document.write( "Anderson equation: \n" ); document.write( "7a + 2c = 93 \n" ); document.write( ": \n" ); document.write( "We can use elimination to solve this: Mult D eq by 2 and A eq by 5 \n" ); document.write( "35a + 10c = 465 \n" ); document.write( "6a + 10c = 146 \n" ); document.write( "---------------- subtracting eliminates c, find a \n" ); document.write( "29a + 0c = 319 \n" ); document.write( "a = \n" ); document.write( "a = $11, cost of 1 adult \n" ); document.write( ": \n" ); document.write( "Use 3a + 5c = 73 to find c; substitute 11 fora \n" ); document.write( "3(11) + 5c = 73 \n" ); document.write( "5c = 73 - 33 \n" ); document.write( "5c = 40 \n" ); document.write( "c = \n" ); document.write( "c = $8, cost per child \n" ); document.write( ": \n" ); document.write( "Check solutions in 7a + 2c = 93 \n" ); document.write( "7(11) + 2(8) = \n" ); document.write( "77 + 16 = 93 confirms our solution \n" ); document.write( ": \n" ); document.write( "The Owens-Faulkner family reunion will need tickets for 55 adult and 53 children. What will the total cost for the Owens-Faulkner family reunion to enter the amusement park?[No group discounts were given.] \n" ); document.write( ": \n" ); document.write( "It's an easy task to find the cost of the above family now. \n" ); document.write( "55(11) + 53(8) = \n" ); document.write( "605 + 424 = $1029 for the O-F family \n" ); document.write( " |