Question

Sarah is making strawberry yogurt by mixing strawberry puree and yogurt in the ratio of 2 to 4. How many grams of strawberry puree and yogurt does she need to make 300 grams of strawberry yogurt?



A.
100 grams of strawberry puree and 200 grams of yogurt
B.
600 grams of strawberry puree and 800 grams of yogurt
C.
800 grams of strawberry puree and 800 grams of yogurt
D.
200 grams of strawberry puree and 100 grams of yogurt

Answer 1

To determine how many grams of strawberry puree and yogurt Sarah needs to make 300 grams of strawberry yogurt in a 2 to 4 ratio, we can first express the ratio of strawberry puree to yogurt in terms of their parts:

1. The ratio 2 to 4 can be simplified to 1 to 2. Thus, for every 1 part of strawberry puree, there are 2 parts of yogurt.

2. The total number of parts is 1 + 2 = 3 parts.

3. Now we want to find out how much each part weighs when the total is 300 grams:
\[
\text{Weight of each part} = \frac{300 \text{ grams}}{3 \text{ parts}} = 100 \text{ grams per part}
\]

4. Now we can calculate the weight of strawberry puree and yogurt based on the parts:
- Strawberry puree: 1 part × 100 grams/part = 100 grams
- Yogurt: 2 parts × 100 grams/part = 200 grams

So, Sarah needs **100 grams of strawberry puree and 200 grams of yogurt**.

Thus, the correct answer is **A. 100 grams of strawberry puree and 200 grams of yogurt**.