document.write( "Question 1012440: How would I solve this problem: at a highschool, 85 students are enrolled in fine arts. 51 are enrolled in history, and 23 are enrolled in both subjects. How many students are taking fine arts or history? \n" ); document.write( "

Algebra.Com's Answer #628376 by ikleyn(52878) $\"\"$ $\"About$

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\n" ); document.write( "At a high school, 85 students are enrolled in fine arts. 51 are enrolled in history, and 23 are enrolled in both subjects.
\n" ); document.write( "How many students are taking fine arts or history?
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document.write( "Actually, the formulation is not accurate.\r\n" );
document.write( "It does not allow to distinct if these 23 are among 85 and 51, or they are 23 others students.\r\n" );
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document.write( "So, there are two alternative formulations:\r\n" );
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document.write( "1. \"At a high school, 85 students are enrolled in fine arts, 51 are enrolled in history. Among them, 23 are enrolled in both subjects. \r\n" );
document.write( "    How many students are taking fine arts only or history only?\"\r\n" );
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document.write( "2. \"At a high school, 85 students are enrolled in fine arts, 51 are enrolled in history. Beside it, 23 other students are enrolled in both subjects. \r\n" );
document.write( "    How many students are taking fine arts or history?\"\r\n" );
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document.write( "Any of these formulations make sense and is unambiguous. \r\n" );
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document.write( "Regarding your original formulation, the answer is just contained in the condition. Do you agree?\r\n" );
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document.write( "For the formulation #1 the solution is:\r\n" );
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document.write( "85 - 23 = 62 students are enrolled in fine arts only.\r\n" );
document.write( "51 - 23 = 28 students are enrolled in history only.\r\n" );
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document.write( "For the formulation #2 the solution is:\r\n" );
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document.write( "85 + 23 = 108 students are enrolled in fine arts.\r\n" );
document.write( "51 + 23 = 74 students are enrolled in history only.\r\n" );
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document.write( "In Math, including the school Math problems, every word counts and every word is significant. \r\n" );
document.write( "Those who read old textbooks know it very well. \r\n" );
document.write( "People of younger generation are more careless about correct wording. \r\n" );
document.write( "Read and use right sources and improve your skills. It will help you in your life.\r\n" );
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