document.write( "Question 970486: The ratio of girls to boys in Liza's classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students? \n" ); document.write( "
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\n" ); document.write( "The ratio of girls to boys in Liza's classroom is 5 to 4. How many girls are in her classroom
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\n" ); document.write( "\n" ); document.write( "        It can be solved mentally without using equations.\r
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\n" ); document.write( "\n" ); document.write( "According to the problem, we can group the students in sets, each containing 5 girls and 4 boys.\r
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\n" ); document.write( "\n" ); document.write( "Each such group has 5 + 4 = 9 students.\r
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\n" ); document.write( "\n" ); document.write( "So, the number of such groups is 27/9 = 3.\r
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\n" ); document.write( "\n" ); document.write( "Thus, the number of girls in the class is 3*5 = 15.         ANSWER\r
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\n" ); document.write( "\n" ); document.write( "In normal teaching process, the students should learn this grouping method first,
\n" ); document.write( "allowing to solve this problem mentally (at 4-th or 5-th grade).\r
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\n" ); document.write( "\n" ); document.write( "Later, in 6-th or 7-th grade, students will learn proportions and will solve such problems using proportions.\r
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\n" ); document.write( "\n" ); document.write( "But for normal mathematical development, students should learn the mental solution way first,
\n" ); document.write( "using the grouping method.\r
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