Question

Sue needs to prepare 35 grams of a 70% powder using the 50% and 90% powders that are currently stock. How much of each powder is required?

Answer 1

To prepare 35 grams of a 70% powder using 50% and 90% powders, you need 25 grams of the 50% powder and 10 grams of the 90% powder.

Step-by-step explanation:

To prepare 35 grams of a 70% powder, we can use a mixture of 50% and 90% powders. Let's assume x grams of the 50% powder and (35 - x) grams of the 90% powder are required. The total mass of the mixture is 35 grams, so we can write the equation as:

0.5x + 0.9(35 - x) = 0.7 * 35

Solving this equation, we find that x = 25 grams. Therefore, 25 grams of the 50% powder and 10 grams of the 90% powder are required.