Mason used 1/6 of a gram of honey to make 1/10 of a pan of pudding.  How many grams of honey are needed per pan of pudding

To solve this problem, let's determine how much honey Mason would need for a full pan of pudding based on the given ratio.

### Step 1: Identify the ratio of honey to pudding.
Mason used \( \frac{1}{6} \) gram of honey for \( \frac{1}{10} \) of a pan of pudding.

### Step 2: Set up a proportion to find the amount of honey needed for a full pan.
Let \( x \) be the amount of honey needed for a full pan of pudding.

\[
\frac{\text{Honey used}}{\text{Portion of pudding}} = \frac{x \text{ grams}}{1 \text{ pan}} = \frac{\frac{1}{6} \text{ grams}}{\frac{1}{10} \text{ pan}}
\]

### Step 3: Solve for \( x \).
To solve for \( x \), multiply both sides of the equation by 1 pan:

\[
x = \frac{1}{6} \times \frac{1}{\frac{1}{10}}
\]

\[
x = \frac{1}{6} \times 10 = \frac{10}{6} = \frac{5}{3} \text{ grams}
\]

### Step 4: Simplify the fraction.
\[
\frac{5}{3} \text{ grams} \approx 1.67 \text{ grams}
\]

So, Mason would need approximately 1.67 grams of honey per full pan of pudding.

Would you like further details or have any questions? 

Here are 5 related questions to consider:

1. If Mason used 2/3 of a gram of honey for 1/5 of a pan, how much honey is needed for a full pan?
2. How would the amount of honey change if Mason used 1/4 of a gram for 1/10 of a pan?
3. What is the ratio of honey to pudding in the recipe?
4. If the pan size was doubled, how much honey would Mason need?
5. What fraction of a pan can Mason make with 1 gram of honey?

**Tip:** When dealing with proportions, always set up a clear ratio to simplify calculations.

Learn how to calculate the amount of honey needed for pudding using proportions. Solve the problem where Mason uses 1/6 of a gram of honey for 1/10 of a pan of pudding, determining how many grams of honey are needed per full pan. Suitable for Grades 5-7 students.

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