document.write( "Question 180041: I know the answer to my question, because I kept multiplying, but I don't know howto show my work as a stratey. The question is. In a math class of 26 students, each girl drew a triangle and each boy drew a rectangle. There were 92 slides in all. How may girls and how many boys were in the class. The answer I came up with was 16 girls and 11 boys. \n" ); document.write( "
Algebra.Com's Answer #134909 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let B = the number of boys and G = the number of girls.
\n" ); document.write( "B+G = 26 \"The number of students is 26\"
\n" ); document.write( "The girls drew triangles, each of which has three sides, so the total number of sides from the triangles is: 3*G
\n" ); document.write( "The boys drew rectangles each of which has four sides, so the total number of sides from the rectangles is: 4*B
\n" ); document.write( "Now you can write two equations as follows:
\n" ); document.write( "1) B+G = 26 Rewrite this as: B = 26-G and substitute for B in equation 2).
\n" ); document.write( "2) 4*B+3*G = 92 which is the total number of sides.
\n" ); document.write( "4(26-G)+3*G = 92 Simplify and solve for G.
\n" ); document.write( "104-4G+3G = 92 Subtract 104 from both sides.
\n" ); document.write( "-G = -12 Divide through by -1 to make positive.
\n" ); document.write( "G = 12
\n" ); document.write( "To find the number of boys (B):
\n" ); document.write( "B = 26-G
\n" ); document.write( "B = 26-12
\n" ); document.write( "B = 14
\n" ); document.write( "So the number of boys is 14 and the number of girls is 12
\n" ); document.write( "Check:
\n" ); document.write( "B+G = 26
\n" ); document.write( "14+12 = 26
\n" ); document.write( "26 = 26 OK!
\n" ); document.write( "4*B+3*G = 92
\n" ); document.write( "4*14+3*12 = 92
\n" ); document.write( "56+36 = 92
\n" ); document.write( "92 = 92 OK!
\n" ); document.write( "
\n" );