Question

Heidi likes to mix her own horse feed. She creates a mix that is 10%

molasses-covered oats using 18% molasses-covered oats. How many pounds
of each does she need to create 50 pounds of the mixture

Answer 1

Heidi should mix approximately 27.78 pounds of 18% molasses-covered oats with 22.22 pounds of other ingredients to create a 50-pound mix with a concentration of 10% molasses.

Step-by-step explanation:

Heidi wants to prepare a 50-pound mixture of horse feed with a target concentration of 10% molasses by weight. She plans to use a higher concentration feed containing 18% molasses to achieve this goal.

Setting up the Equation

Let's call the amount of 18% molasses feed x pounds. Since the total weight of the mix is expected to be 50 pounds, the weight of the remaining feed, which presumably has 0% molasses, would be (50 - x) pounds.

The amount of molasses in the 18% feed is 0.18x pounds. The target mixture has 10% molasses, so in a 50-pound mix, the molasses weight should be 0.10 * 50 = 5 pounds.

The equation representing the mix is therefore:
0.18x + 0 (50 - x) = 5

Solving for x

0.18x = 5

x = 5 / 0.18

x ≈ 27.78 pounds

Determining the Amounts

Heidi should mix approximately 27.78 pounds of 18% molasses-covered oats with 22.22 pounds (50 - 27.78) of other ingredients to achieve her desired 10% molasses mix.

Answer 2

The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?