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?

1 answer

To find out how many grams of strawberry puree and yogurt Sarah needs, we first need to determine the total parts in the ratio and then calculate the individual components.

The given ratio of strawberry puree to yogurt is 2 to 4.

  1. Find the total parts: \[ 2 + 4 = 6 \text{ parts} \]

  2. Determine the amount of each component per part: Since Sarah wants to make a total of 300 grams of the mixture, we can calculate the weight of each part: \[ \text{Weight per part} = \frac{300 \text{ grams}}{6 \text{ parts}} = 50 \text{ grams/part} \]

  3. Calculate the amount of strawberry puree: The strawberry puree has 2 parts: \[ \text{Strawberry Puree} = 2 \text{ parts} \times 50 \text{ grams/part} = 100 \text{ grams} \]

  4. Calculate the amount of yogurt: The yogurt has 4 parts: \[ \text{Yogurt} = 4 \text{ parts} \times 50 \text{ grams/part} = 200 \text{ grams} \]

Therefore, to make 300 grams of strawberry yogurt, Sarah needs:

  • 100 grams of strawberry puree
  • 200 grams of yogurt