document.write( "Question 596194: There are 18 students in a class. The number of boys is two less than three times the number of girls. How any boys are in the class? \n" ); document.write( "
Algebra.Com's Answer #377591 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! Hi, there-- \n" ); document.write( ". \n" ); document.write( "Let g be the number of girls in the class. \n" ); document.write( ". \n" ); document.write( "\"two less than three times the number of girls\" translate to the algebraic expression \"3g-2\". \n" ); document.write( ". \n" ); document.write( "The total number of girls and boys is 18, so we write that as an equation. \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now we combine like terms and solve for g. \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Add 2 to both sides of the equation. \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Divide both sides by 4. \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "According to the algebra, there are 5 girls (g=5). Since there are 3g-2 boys, there are 3(5)-2)=13 boys. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "Are there 18 students in the class? 5+13=18...YES! \n" ); document.write( "Is the number of boys two less than three times the number of girls? Three times five is fifteen; two less than fifteen is thirteen...YES! \n" ); document.write( ". \n" ); document.write( "That's it. Feel free to email if you still have Qs about this. \n" ); document.write( ". \n" ); document.write( "Ms.Figgy \n" ); document.write( "math.in.the.vortex@gmail.com \n" ); document.write( " |