document.write( "Question 513401: There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended? \n" ); document.write( "
Algebra.Com's Answer #342991 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended? \n" ); document.write( "-------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Eq: a + c = 429 tickets \n" ); document.write( "Value Eq: 8a + 4.5c = 2641 dollars \n" ); document.write( "------------------------------------------- \n" ); document.write( "Multiply thru the Quantity Eq. by 80. \n" ); document.write( "Multiply thru the Value Eq. by 10. \n" ); document.write( "------------------------------------------- \n" ); document.write( "80a + 80c = 80*429 \n" ); document.write( "90a + 45c = 26410 \n" ); document.write( "------------------------- \n" ); document.write( "Subtract and solve for \"c\": \n" ); document.write( "35c = 7910 \n" ); document.write( "c = 226 (# of children's tickets) \n" ); document.write( "--- \n" ); document.write( "Solve for \"a\" \n" ); document.write( "a + c = 429 \n" ); document.write( "a + 226 = 429 \n" ); document.write( "a = 203 (# of adult tickets) \n" ); document.write( "-------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " \n" ); document.write( " |