document.write( "Question 1175226: A sum of money in 50 peswas pieces and 10 peswas pieces amounts to ₵60. If there
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document.write( "are, in all, 440 coins, write down the number of 50 peswas and 10 peswas coins. \n" );
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Algebra.Com's Answer #800817 by greenestamps(13203) You can put this solution on YOUR website! \n" ); document.write( "I will assume from the given numbers that ₵1 = 100 peswas. \n" ); document.write( "You should know how to solve a problem like this using the formal algebraic method the other tutor referred you to. \n" ); document.write( "You can also get valuable mental exercise by solving the problem informally, using logical reasoning and simple arithmetic. \n" ); document.write( "If all 440 coins were 10 peswas, the total value would be ₵44. The actual total value is ₵60, which is ₵16 more than ₵44. \n" ); document.write( "Each 50 peswas coin has a value of 40 peswas more than each 10 peswas coin. So exchanging a 10 peswas coin for a 50 peswas coin increases the total value by 40 peswas. \n" ); document.write( "The number of such exchanges that would be required to make up the additional ₵16 is 1600/40 = 40. \n" ); document.write( "So the number of 50 peswas coins is 40; that means there are 440-40 = 400 10 peswas coins. \n" ); document.write( "ANSWER: 40 coins of 50 peswas; 400 coins of 10 peswas. \n" ); document.write( "CHECK: 40(50)+400(10) = 2000+4000 = 6000 (peswas) = ₵60 \n" ); document.write( " \n" ); document.write( " |