document.write( "Question 793257: A group of people consisting of 1 adult and 4 children were charged $85.00 for admission to museum. A second group of 3 adults and 2 children were charged $105. If A is the admission charge for adults and c is children in dollars.\r
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document.write( "A. Write to equations that relate the number of adults and children in each group to their admission costs.\r
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document.write( "B.solve the above equations simultaneously to find the admission cost of an adult and admission cost of a child\r
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document.write( "C check you solution\r
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document.write( "Can you please explain your answers please this is me being scared I'm going to fail my test \n" );
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Algebra.Com's Answer #480294 by MathTherapy(10551)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A group of people consisting of 1 adult and 4 children were charged $85.00 for admission to museum. A second group of 3 adults and 2 children were charged $105. If A is the admission charge for adults and c is children in dollars.\r \n" ); document.write( "\n" ); document.write( "A. Write to equations that relate the number of adults and children in each group to their admission costs.\r \n" ); document.write( "\n" ); document.write( "B.solve the above equations simultaneously to find the admission cost of an adult and admission cost of a child\r \n" ); document.write( "\n" ); document.write( "C check you solution\r \n" ); document.write( "\n" ); document.write( "Can you please explain your answers please this is me being scared I'm going to fail my test\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As the cost of admission for an adult is A, the total cost for 1 adult = 1A, or A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As the cost of admission for a child is C, then total cost for 4 children = 4C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As total cost for an adult and 4 children is $85, then A + 4C = 85 ------ eq (i)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Likewise, cost of admission for 3 adults = 3A, and cost of admission for 2 children is 2C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, 3A + 2C = 105 ------- eq (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 3A - 12C = - 255 ------- Multiplying eq (i) by - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, we have: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 10C = - 150 ------ Adding eqs (iii) & (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C, or admission cost for a child = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute 15 for C in eq (i) and determine the admission cost for an adult.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thereafter, do a check to make sure the answers are correct and make sense. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com. Further help is available, online or in-person, for a fee, obviously. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams, GENERAL MATH QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE, GRE, CLEP, and the GED, you can visit: http://asvabstudyzone.freeforums.net/. \n" ); document.write( " |