document.write( "Question 159775: Devon purchased tickets to an air show for 9 adults and 2 children. The total cost was $160. The cost of a childs ticket was $8 less than an adult ticket. Find the price a) an adults ticket b) a childs ticket. \n" ); document.write( "

Algebra.Com's Answer #117818 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Total cost of tickets:
\n" ); document.write( " $\"A%2BC=160\"$ -------------------------------> EQN 1
\n" ); document.write( "Cost for each:
\n" ); document.write( " $\"C=A-8\"$ ---------------------------------> CONDTN 1
\n" ); document.write( " $\"A=A\"$
\n" ); document.write( "It follows via EQN 1: $\"9A%2B2C=160\"$ , subst. CONDTN 1
\n" ); document.write( " $\"9A%2B2%28A-8%29=160\"$ -------------------------> WORKING EQN
\n" ); document.write( " $\"9A%2B2A-16=160\"$
\n" ); document.write( " $\"11A=160%2B16=176\"$
\n" ); document.write( " $\"11A=176\"$ ----> $\"cross%2811%29A%2Fcross%2811%29=cross%28176%2916%2Fcross%2811%29\"$
\n" ); document.write( " $\"A=16.00\"$ , cost per Adult ticket
\n" ); document.write( "And, $\"C=16-8=8.00\"$ , cost per Child ticket
\n" ); document.write( "Go back WORKING EQN to check:
\n" ); document.write( " $\"9%2A16%2B2%2816-8%29=160\"$
\n" ); document.write( " $\"144%2B2%2A8=160\"$
\n" ); document.write( " $\"144%2B16=160\"$
\n" ); document.write( " $\"160=160\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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