Question

Ray is making a parfait by mixing honey and yogurt in the ration of 2 to 13. How much yogurt and honey does he need to make 600 grams of the parfait?

Answer 1

To solve the problem, we first need to understand the ratio of honey to yogurt, which is given as 2 to 13. This means for every 2 parts of honey, there are 13 parts of yogurt.

First, we add the parts of honey and yogurt together:

\[
2 \text{ (honey)} + 13 \text{ (yogurt)} = 15 \text{ parts total}
\]

Next, we need to determine how much each part weighs, given that the total weight of the parfait is 600 grams:

\[
\text{Weight of one part} = \frac{600 \text{ grams}}{15 \text{ parts}} = 40 \text{ grams per part}
\]

Now, we can find out how much honey and yogurt Ray needs:

1. **For Honey**:
- Honey weight = \(2 \text{ parts} \times 40 \text{ grams per part} = 80 \text{ grams}\)

2. **For Yogurt**:
- Yogurt weight = \(13 \text{ parts} \times 40 \text{ grams per part} = 520 \text{ grams}\)

Thus, Ray needs:

- **80 grams of honey**
- **520 grams of yogurt**

In conclusion, to make 600 grams of the parfait with the specified ratio, Ray needs 80 grams of honey and 520 grams of yogurt.