document.write( "Question 108221: Brianna was in charge of selling tickets to a school play. Tickets were available for adults and students. Brianna reported that 192 more student tickets than adult tickets were sold. 66% of the tickets sold were student tickets. How many adult tickets were sold? How many student tickets were sold?
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Algebra.Com's Answer #78851 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Brianna was in charge of selling tickets to a school play. Tickets were available for adults and students. Brianna reported that 192 more student tickets than adult tickets were sold. 66% of the tickets sold were student tickets. How many adult tickets were sold? How many student tickets were sold? \n" ); document.write( ": \n" ); document.write( "Let a = no. of adult tickets sold \n" ); document.write( "Let s = no. of student tickets sold \n" ); document.write( "Then \n" ); document.write( "(a+s) = total tickets sold \n" ); document.write( ": \n" ); document.write( "It says,\"192 more student tickets than adult tickets were sold.\", therefore: \n" ); document.write( "s = a + 192 \n" ); document.write( ": \n" ); document.write( "It also says, \"66% of the tickets sold were student tickets\", therefore: \n" ); document.write( "s = .66(a + s) \n" ); document.write( "s = .66a + .66s \n" ); document.write( "s - .66s = .66a \n" ); document.write( ".34s = .66a \n" ); document.write( "Substitute (a+192) of s and find a: \n" ); document.write( ".34(a+192) = .66a \n" ); document.write( ".34a + 65.28 = .66a \n" ); document.write( ".34a - .66a = -65.28 \n" ); document.write( "-.32a = - 65.28 \n" ); document.write( "a = -.65.28/-.32 \n" ); document.write( "a = +204 adults \n" ); document.write( "Then \n" ); document.write( "204 + 192 = 396 students \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution this way: \n" ); document.write( "Total: 204 + 396 = 600 \n" ); document.write( ": \n" ); document.write( " |