document.write( "Question 1160642: Hello
\n" ); document.write( "How do I go about solving this problem?\r
\n" ); document.write( "\n" ); document.write( "There are 42 children in a canteen. 2/5 of the boys and 1/2 of the girls like to eat fried chicken wings. There are 19 children who like to eat fried chicken wings. Find the number of boys in the canteen.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #783998 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
let b = the number of boys
\n" ); document.write( "let g = the number of girls.
\n" ); document.write( "you get:
\n" ); document.write( "b + g = 42
\n" ); document.write( "2/5 * b + 1/2 * g = 19
\n" ); document.write( "multiply both sides of the second equation by 2 and leave the first equation as is to get:
\n" ); document.write( "b + g = 42
\n" ); document.write( "4/5 * b + g = 38
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "b - 4/5 * b = 4
\n" ); document.write( "multiply both sides of this equation by 5 to get:
\n" ); document.write( "5b - 4b = 20
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "b = 20
\n" ); document.write( "since b + g = 42, then g must be equal to 22.
\n" ); document.write( "you have:
\n" ); document.write( "b = 20
\n" ); document.write( "g = 22
\n" ); document.write( "b + g = 42
\n" ); document.write( "2/5 * b + 1/2 * g = 2/5 * 20 + 1/2 * 22 = 8 + 11 = 19
\n" ); document.write( "solution is the number of boys in the canteen is 20 and the number of girls in the canteen is 22.\r
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