A recipe for trail mix calls for a ratio of 2 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 37 pounds of M&M's? (Hint: There are 16 ounces in 1 (pound.) Round your answer to the nearest hundredth, if necessary.


To solve this problem, let's break it down step by step:

### Step 1: Understand the ratio
The recipe calls for a ratio of 2 to 1 of M&M's to sunflower seeds by weight. This means that for every 2 parts of M&M's, there is 1 part of sunflower seeds.

### Step 2: Calculate the total weight in ounces
First, convert the weight of the M&M's from pounds to ounces. There are 16 ounces in 1 pound, so:

\[
37 \text{ pounds} \times 16 \text{ ounces per pound} = 592 \text{ ounces of M&M's}
\]

### Step 3: Apply the ratio
The ratio is 2:1, which means for every 2 parts of M&M's, there is 1 part of sunflower seeds. To find the amount of sunflower seeds, we divide the weight of M&M's by 2:

\[
\text{Weight of sunflower seeds} = \frac{592 \text{ ounces}}{2} = 296 \text{ ounces}
\]

Thus, the mixture will contain **296 ounces of sunflower seeds**.

Would you like more details or have any questions?

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Here are 5 related questions:
1. If the ratio of M&M's to sunflower seeds were 3:1, how many ounces of sunflower seeds would you need for 37 pounds of M&M's?
2. How many ounces of sunflower seeds would be needed if there were 25 pounds of M&M's in the mixture?
3. What would be the total weight in ounces of the trail mix?
4. If you wanted to make 100 pounds of trail mix with the same 2:1 ratio, how much of each ingredient would you need?
5. How would the weight of sunflower seeds change if the ratio were reversed to 1:2?

**Tip:** When dealing with ratios, always ensure you understand which quantity corresponds to which part of the ratio before performing calculations.

A recipe for trail mix calls for a ratio of 2 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 37 pounds of M&M's? (Hint: There are 16 ounces in 1 pound.) Round your answer to the nearest hundredth, if necessary.

Learn how to calculate the weight of sunflower seeds in a trail mix with a 2:1 ratio to M&M's. This problem involves key concepts like ratios, unit conversion, and proportional reasoning. Suitable for students in Grades 5-7.

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