High School

3. If you have a mixture of 6 lb. of sunflower seeds, which cost 84¢ per pound, and 8 lb. of cracked corn, which cost 28¢ per pound, how much would this mixture cost per pound?

4. If 15% of the objects in a box weigh 27 gm each and the other 85% weigh 31 gm each, what is the average weight of the objects?

Answer :

Final answer:

The mixture would cost approximately $16.36 per pound.

Explanation:

To calculate the cost per pound of the mixture, we need to find the total cost of each ingredient and then divide it by the total weight of the mixture.

Let's start by calculating the total cost of the sunflower seeds:

  1. The cost per pound of sunflower seeds is 84¢.
  2. The weight of sunflower seeds is 6 lb.
  3. Therefore, the total cost of the sunflower seeds is 6 lb. * 84¢/lb. = $5.04.

Next, let's calculate the total cost of the cracked corn:

  1. The cost per pound of cracked corn is 28€.
  2. The weight of cracked corn is 8 lb.
  3. Therefore, the total cost of the cracked corn is 8 lb. * 28€/lb. = €224.

Now, let's find the total weight of the mixture:

  1. The weight of sunflower seeds is 6 lb.
  2. The weight of cracked corn is 8 lb.
  3. Therefore, the total weight of the mixture is 6 lb. + 8 lb. = 14 lb.

Finally, let's calculate the cost per pound of the mixture:

  1. The total cost of the mixture is $5.04 + €224 = $229.04.
  2. The total weight of the mixture is 14 lb.
  3. Therefore, the cost per pound of the mixture is $229.04 / 14 lb. ≈ $16.36.

Learn more about calculating the cost per pound of a mixture here:

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