a dog-food company makes a special kind of dog food. It consists of 10% meat powder and 90% grain. The meat powder cost 80 cents per pound. The grain costs 70 cents per pound. What is the cost of the new materials per pound of dog food?
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Sra
$5.26
$6.oo
To find the cost of the new materials per pound of dog food, we need to calculate the weighted average of the cost of meat powder and grain.
Given that the dog food consists of 10% meat powder and 90% grain, we can assign weights to each component. Let's assign a weight of 0.1 (10%) to the meat powder and a weight of 0.9 (90%) to the grain.
Next, we need to calculate the cost per pound of each component. The meat powder costs 80 cents per pound and the grain costs 70 cents per pound.
Now, let's calculate the weighted average cost per pound:
Weighted average cost per pound = (Weight of meat powder * Cost per pound of meat powder) + (Weight of grain * Cost per pound of grain)
= (0.1 * $0.80) + (0.9 * $0.70)
= $0.08 + $0.63
= $0.71
Therefore, the cost of the new materials per pound of dog food is $0.71.