document.write( "Question 1060065: A movie theater charges $7 for adults, $5 for school-age children, and $3 for babies. A group of people went to the theater. There were the same number of school-age children as babies and the number of adults was the same as school-age children and babies combined. If the group paid $1562, how many babies were in the group? \n" ); document.write( "

Algebra.Com's Answer #675097 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "A movie theater charges $7 for adults, $5 for school-age children, and $3 for babies. A group of people went to the theater.
\n" ); document.write( "There were the same number of school-age children as babies and the number of adults was the same as school-age children
\n" ); document.write( "and babies combined. If the group paid $1562, how many babies were in the group?
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document.write( "Let \"x\" be the number of school-age children.\r\n" );
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document.write( "Then the number of babies is \"x\" also, according to the condition,\r\n" );
document.write( "and the number of adults is (x + x) = 2x, by the same reason.\r\n" );
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document.write( "The school-age children tickets cost 5x dollars.\r\n" );
document.write( "The babies tickets cost 3x dollars.\r\n" );
document.write( "The adult tickets cost 7*(2x) = 14x dollars.\r\n" );
document.write( "Altogether, the tickets cost 5x + 3x + 14x = 22x dollars.\r\n" );
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document.write( "From the other side, this sum is 1562 dollars.\r\n" );
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document.write( "So you have this equation \r\n" );
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document.write( "22x = 1562,\r\n" );
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document.write( "which implies x =  = 71.\r\n" );
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document.write( "Answer.  71 babies.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from this solution:\r
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\n" ); document.write( "\n" ); document.write( "1. First choose the major unknown reasonably.\r
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\n" ); document.write( "\n" ); document.write( "2. Second, express other unknowns via the major unknown.\r
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\n" ); document.write( "\n" ); document.write( "3. Then make an equation.\r
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\n" ); document.write( "\n" ); document.write( "4. Then solve the equation.\r
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\n" ); document.write( "\n" ); document.write( "It is the algorithm.\r
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\n" ); document.write( "\n" ); document.write( "Again, this problem is about to teach you on how to select the unknown value by the rational and reasonable way.\r
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\n" ); document.write( "\n" ); document.write( "It is not about writing the system of three equations in three unknowns.\r
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\n" ); document.write( "\n" ); document.write( "It is not without reason they use the words \"babies\", \"children\" sending the message to you that the problem is
\n" ); document.write( "for very young students who only started study equations.\r
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\n" ); document.write( "\n" ); document.write( "From this point of view, writing by \"josgarithmetic\" seems to be totally out of the goal of this assignment.\r
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