document.write( "Question 68112: Bob needs to buy 5 pounds of candy. one kind costs 1.75 per pound and the second kind costs 2.35 per pound. How much of each will he need if he spends 10.00? \n" ); document.write( "
Algebra.Com's Answer #48524 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Bob needs to buy 5 pounds of candy. one kind costs 1.75 per pound and the second kind costs 2.35 per pound. How much of each will he need if he spends 10.00? \n" ); document.write( ": \n" ); document.write( "A mixture problem; \n" ); document.write( ": \n" ); document.write( "We can say that the resulting mixture is worth 10/5 = 2.00/lb \n" ); document.write( ": \n" ); document.write( "let x = amt of 1.75 /lb candy; \n" ); document.write( "let (5-x) = 2.35 /lb candy \n" ); document.write( ": \n" ); document.write( "1.75x + 2.35(5-x) = 2(5) \n" ); document.write( ": \n" ); document.write( "1.75x + 11.75 - 2.35x = 10 \n" ); document.write( "1.75x - 2.35x = 10 - 11.75 \n" ); document.write( "-.6x = -1.75 \n" ); document.write( "x = -1.75/-.6 \n" ); document.write( "x = 2.92 lb of the $1.75 candy \n" ); document.write( ": \n" ); document.write( "5 - 2.92 = 2.08 lb of the $2.35 candy \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "1.75(2.92) + 2.35(2.08) = \n" ); document.write( "5.11 + 4.89 = $10 \n" ); document.write( " |