document.write( "Question 423217: twenty-six students entered their projects in the science fair. the number of girls was 4 fewer than twice the number of boys. how many boysand how manygirls entered their projects in the fair? \n" ); document.write( "
Algebra.Com's Answer #295250 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Always start by turning the words into sentences that are easier to understand. \n" ); document.write( "g = number of girls \n" ); document.write( "b = number of boys \n" ); document.write( ". \n" ); document.write( "The number of girls is 4 fewer than 2 times the number of boys. \n" ); document.write( "In other words, the number of girls equals 2 times the number of boys minus 4. \n" ); document.write( "g = 2b - 4 \n" ); document.write( ". \n" ); document.write( "The total number of entrants equals 26. \n" ); document.write( "Of course, the total number of entrants equals the number of girls plus the number of boys. \n" ); document.write( "26 = g + b \n" ); document.write( "Alternately, we can say: \n" ); document.write( "g = 26 - b \n" ); document.write( "or \n" ); document.write( "b = 26 - g \n" ); document.write( ". \n" ); document.write( "Looking back, we know... \n" ); document.write( "g = 2b - 4 \n" ); document.write( "and \n" ); document.write( "g = 26 - b \n" ); document.write( "so, we can substitute... \n" ); document.write( "g = g \n" ); document.write( "which means \n" ); document.write( "2b -4 = 26 - b \n" ); document.write( "adding b to both sides \n" ); document.write( "3b -4 = 26 \n" ); document.write( "adding 4 to both sides \n" ); document.write( "3b = 30 \n" ); document.write( "dividing both sides by 3 \n" ); document.write( "b = 10 \n" ); document.write( ". \n" ); document.write( "From above we know: \n" ); document.write( "g = 26 - b \n" ); document.write( "g = 26 - 10 \n" ); document.write( "g = 16 \n" ); document.write( ". \n" ); document.write( "Always check your work! \n" ); document.write( ". \n" ); document.write( "Does the number of girls equal two times the number of boys minus 4? \n" ); document.write( "g = 2*10 -4 \n" ); document.write( "g = 20 - 4 \n" ); document.write( "g = 16 \n" ); document.write( "That checks. \n" ); document.write( ". \n" ); document.write( "Remember to state your answer clearly. \n" ); document.write( "The number of boys equals 10. The number of girls euqals 16. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |