Mixture, Solutions, Age Problems

Question

You have one type of chocolate that sells for $1.70/lb and another type of chocolate that sells for $9.00/lb. You would like to have 58.4 lbs of a chocolate mixture that sells for $5.50/lb. How much of each chocolate will you need to obtain the desired mixture?

Answer 1

1.7x + 9(58.4-x) = 5.5(58.4)

-9x +1.7x = 5.5(58.4) -9(58.4)

7.3x = 3.5(58.4)

x = 3.5(58.4)/7.3 = 28 pounds of $1.70 per pound chocolate

58.4-x = 30.4 pounds of $9 per pound chocolate