Question

A seasoning blend is 4% onion powder, by mass? How much pure onion powder should they include in a 72g bottle to make the final blend have 20% onion powder.

Answer 1

To achieve a 20% onion powder concentration in a 72g bottle, one must add 11.52g of pure onion powder to the existing blend which already contains 4% onion powder.

Step-by-step explanation:

We need to calculate how much pure onion powder should be added to a blend to reach a desired mass percentage of 20%. To start, we know that in a 72g bottle we want 20% to be onion powder, which corresponds to 0.20 × 72g = 14.4g of onion powder.

However, the seasoning blend already contains 4% onion powder, meaning there is 0.04 × 72g = 2.88g of onion powder in it. Therefore, to increase the concentration to 20%, we need to add the difference between the desired amount (14.4g) and the amount already present (2.88g).

The calculation goes as follows: 14.4g - 2.88g = 11.52g. This means you need to add 11.52g of pure onion powder to the bottle to achieve a 20% concentration of onion powder in the final blend.

Answer 2

You need to add 11.52 grams of pure onion powder to the blend to achieve a 20% concentration of onion powder in the final mixture.

Here's how to calculate how much pure onion powder should be added to the blend:

1. **Calculate the desired amount of onion powder in the final blend:**

- We want the final blend (72g) to have 20% onion powder.

- Therefore, the desired amount of onion powder in the blend is 20/100 * 72g = 14.4g.

2. **Calculate the amount of onion powder already present in the blend:**

- The existing blend is 4% onion powder by mass.

- So, the current amount of onion powder in the 72g blend is 4/100 * 72g = 2.88g.

3. **Calculate the amount of pure onion powder to add:**

- We need to add enough pure onion powder to reach the desired 14.4g of onion powder in the final blend.

- Therefore, we need to add 14.4g - 2.88g = 11.52g of pure onion powder.

**Therefore, you need to add 11.52 grams of pure onion powder to the blend to achieve a 20% concentration of onion powder in the final mixture.**