A Mixture of Chocolate

Question

A grocer sells milk chocolate at $2.70 per pound, dark chocolate at $4.60 per pound, and dark chocolate with almonds at $5.60 per pound. He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.72 per pound. The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined. How many pounds of each type must he use in this mixture?

Amount of milk chocolate _________

Amount of dark chocolate _________

Amount of dark chocolate with almonds ________

Answer 1

"The mixture is to contain as many pounds of dark chocolate with almonds as milk chocolate and dark chocolate combined." This means that your mixture must be 1/2 dark chocolate with almonds and 1/2 milk chocolate & dark chocolate, meaning that you have 1/4 milk chocolate and 1/4 dark chocolate individually. Since you want to make 50 pounds, then you multiply each fraction by the total amount to get their individual weights. 50*1/2 = 25 pounds of dark chocolate with almonds, 50* 1/4 = 12.5 pounds of milk chocolate, 50 * 1/4 = 12.5 pounds of dark chocolate.