Question
A grocer sells milk chocolate at $2.90 per pound, dark chocolate at $4.40 per pound, and dark chocolate with almonds at $5.50 per pound. He wants to make a mixture of 50 pounds of mixed chocolates to sell at $4.50 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?
Answers
0.5 * 50Lbs. = 25 Lbs. of dark chocolate with almonds.
12.5 Lbs. of milk chocolate.
12.5 Lbs. of dark chocolate.
12.5 Lbs. of milk chocolate.
12.5 Lbs. of dark chocolate.
let x equal amount of milk chocolate
(25 * 5.5) + (x * 2.9) + [(25 - x) * 4.4] = 50 * 4.5
(25 * 5.5) + (x * 2.9) + [(25 - x) * 4.4] = 50 * 4.5
Your mistake was assuming that since the almond chocolate was half the total, the other two were the same amount.
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