document.write( "Question 1202595: Sophia prepares a fruit bowl where the weights of strawberries, grapes, and blackberries are in a ratio of 7:6:2, respectively. If these are the only pieces of fruit in the bowl, and the fruit weighs five pounds total, how many pounds of strawberries are used in the bowl? \n" ); document.write( "
Algebra.Com's Answer #837523 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = some positive real number \n" ); document.write( "x > 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The ratio 7:6:2 scales up to 7x:6x:2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x = weight of strawberries \n" ); document.write( "6x = weight of grapes \n" ); document.write( "2x = weight of blackberries\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Their sum is 5 pounds total \n" ); document.write( "7x+6x+2x = 5 \n" ); document.write( "15x = 5 \n" ); document.write( "x = 5/15 \n" ); document.write( "x = 1/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, \n" ); document.write( "7x = 7*(1/3) = 7/3 = 2 & 1/3 \n" ); document.write( "6x = 6*(1/3) = 2 \n" ); document.write( "2x = 2*(1/3) = 2/3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 2 & 1/3 pounds of strawberries. \n" ); document.write( "Equivalent to 7/3 pounds or roughly 2.333 pounds. \n" ); document.write( " \n" ); document.write( " |