document.write( "Question 1148008: There are 5 more pigeons than twice the parrots in a cage of 50 pets.if 5 birds of each are adopted then pigeons becomes double than the parrots. Find the numbers of pigeons and parrots in the cage. \n" ); document.write( "
Algebra.Com's Answer #769375 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It is true that the problem is TWISTED and the exact meaning of the words is \"in the fog\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Probably, it is because English is not a native language of the person who created the problem;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " or, probably, it is a kind of provocation, and the author of the post tries \"to check the tutors\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In any case, I will show the way to solve this problem and to get the solution via some interpretation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let consider the first sentence\r\n" ); document.write( "\r\n" ); document.write( " There are 5 more pigeons than twice the parrots in a cage of 50 pets. (*)\r\n" ); document.write( "\r\n" ); document.write( "Let limit / constrain ourselves by this sentence for a minute and will look what follows from it.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If \"x\" is the number of parrots, then the number of pigeons is (2x+5), according to (*).\r\n" ); document.write( "\r\n" ); document.write( "Also, the total of pets (or of birds) in the cage is 50\r\n" ); document.write( "\r\n" ); document.write( " x + (2x+5) = 50.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It implies\r\n" ); document.write( "\r\n" ); document.write( " 3x = 50 - 5 = 45; hence\r\n" ); document.write( "\r\n" ); document.write( " x = = 45/3 = 15.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In this way, we just get the ANSWER : 15 parrots and 2*15+5 = 35 = 50-15 pigeons.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, treating the problem in this way, we just solved it, based on its first sentence ONLY (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we should analyse what the rest of the problem means; how to interpret it, and how it influences to the \r \n" ); document.write( "\n" ); document.write( "solution and the answer itself.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Tutor @greenestamps interprets the term \"adopted\" as if 5 birds of each kind are taken off from the cage and\r\n" ); document.write( "\r\n" ); document.write( "transfered/moved/passed to somewhere outside \"to the families\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I will interpret it in opposite way as if 5 birds of each kind are ADDED to the cage.\r\n" ); document.write( "\r\n" ); document.write( "It DOES NOT contradict to the meaning of the word \"adopted\" - it is one of possible interpretations.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the number of parrots becomes 15+5 = 20 and the number of pigeons becomes 35+5 = 40, and 40 = 2*20,\r\n" ); document.write( "\r\n" ); document.write( "as the second sentence of the problem states.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus I checked the answer above, and my check shows that the answer is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus the problem is completely SOLVED via using different interpretation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Surely, it is VERY SLIPPERY way to formulate Math problem using the words whose precise meaning \n" ); document.write( "is not known or is not defined.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Strictly saying, it is a PROHIBITED WAY in Math.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the formulation would be MUCH BETTER if to replace the term \"ADOPTED\" by the term \"ADDED\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " At this point, I complete my solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |