document.write( "Question 1089495: If three times a number added to 4 is divided by the number plus 11, the result is four thirds. Find the number? \n" ); document.write( "
Algebra.Com's Answer #703853 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! (3x+4) / (x+11) = 4/3 \n" ); document.write( ": \n" ); document.write( "cross multiply fractions \n" ); document.write( ": \n" ); document.write( "3(3x+4) = 4(x+11) \n" ); document.write( ": \n" ); document.write( "9x+12 = 4x+44 \n" ); document.write( ": \n" ); document.write( "5x = 32 \n" ); document.write( ": \n" ); document.write( "x = 6.4 \n" ); document.write( ": \n" ); document.write( "******************************************** \n" ); document.write( "the number is 6.4 \n" ); document.write( ": \n" ); document.write( "check the answer by substituting for x \n" ); document.write( ": \n" ); document.write( "(3*6.4+4) / (6.4 + 11) = 4/3 \n" ); document.write( ": \n" ); document.write( "23.2 / 17.4 = 4/3 \n" ); document.write( ": \n" ); document.write( "(232/10) * (10/174) = 4/3 \n" ); document.write( ": \n" ); document.write( "232/174 = 4/3 \n" ); document.write( ": \n" ); document.write( "Note divide numerator and denominator by 58 \n" ); document.write( ": \n" ); document.write( "our answer checks \n" ); document.write( "********************************************* \n" ); document.write( ": \n" ); document.write( " |