document.write( "Question 138156: the tickets for a dance recital cost $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and the total amount collected was $1,220, how many adult tickets were sold? [use an algebraic solution.] \n" ); document.write( "
Algebra.Com's Answer #100893 by stanbon(75887)\"\" \"About 
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the tickets for a dance recital cost $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and the total amount collected was $1,220, how many adult tickets were sold? [use an algebraic solution.]
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\n" ); document.write( "Let \"a\" be # of adult tickets; Let \"c\" be # of child tickets.
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "Quantity Eq.: a + c = 295
\n" ); document.write( "Value Eq....:5a + 2c = 1220
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\n" ); document.write( "Multiply 1st eq. by 2 to get:
\n" ); document.write( "2a + 2c = 590
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\n" ); document.write( "Subtract that from the 2nd equation to solve for \"a\":
\n" ); document.write( "3a = 630
\n" ); document.write( "a = 210 (# of adult tickets sold)
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\n" ); document.write( "Substitute into a+c=295 to solve for \"c\":
\n" ); document.write( "210 + c = 295
\n" ); document.write( "c = 85 (# of child tickets sold)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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