document.write( "Question 1113391: Hey would you please help me with this? I'm pretty sure it's either A or B\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Which system of equations can be used to solve the following problem? \r
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "Each child ticket for a ride costs $3, while each adult ticket costs $5. If the ride collected a total of $150, and 40 tickets were sold, how many of each type of ticket were sold? Let c be the number of child tickets and a be the number of adult tickets.
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "A.
\n" );
document.write( "
\n" );
document.write( "5c+3a=150
\n" );
document.write( "c+a=40
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "B.
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "3c+5a=150
\n" );
document.write( "a+c=40
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "C.
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "3a+5c=40
\n" );
document.write( "a+c=150
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "D.
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "3c+5a=40
\n" );
document.write( "a+c=150 \n" );
document.write( "
Algebra.Com's Answer #728432 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! B \n" ); document.write( ": \n" ); document.write( "1) a + c = 40 \n" ); document.write( ": \n" ); document.write( "2) 3c +5a = 150 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for c \n" ); document.write( ": \n" ); document.write( "c = 40 -a \n" ); document.write( ": \n" ); document.write( "substitute for c in equation 2 \n" ); document.write( ": \n" ); document.write( "3(40 -a) +5a = 150 \n" ); document.write( ": \n" ); document.write( "120 -3a +5a = 150 \n" ); document.write( ": \n" ); document.write( "2a = 30 \n" ); document.write( ": \n" ); document.write( "a = 15 \n" ); document.write( ": \n" ); document.write( "c = 40 -15 = 25 \n" ); document.write( ": \n" ); document.write( "*********************************************** \n" ); document.write( "25 children(c) and 15 adults(a) \n" ); document.write( ": \n" ); document.write( "check the answer \n" ); document.write( ": \n" ); document.write( "3(25) +5(15) = 150 \n" ); document.write( ": \n" ); document.write( "75 +75 = 150 \n" ); document.write( ": \n" ); document.write( "150 = 150 \n" ); document.write( ": \n" ); document.write( "answer checks \n" ); document.write( "*********************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |