A recipe for 24 chocolate chip cookies calls for 1/9  of a pack of chocolate chips. Jason uses 11/12 of a pack of chocolate chips to make cookies. How many cookies did he make?

To determine how many cookies Jason made, we can set up a proportion based on the amount of chocolate chips used.

Given:
- The recipe for 24 cookies requires \(\frac{1}{9}\) of a pack of chocolate chips.
- Jason uses \(\frac{11}{12}\) of a pack of chocolate chips.

Let's define:
- \( x \) as the number of cookies Jason made.

The relationship between the number of cookies and the amount of chocolate chips used is proportional. Therefore, we can write:

\[
\frac{1}{9} \text{ pack} : 24 \text{ cookies} = \frac{11}{12} \text{ pack} : x \text{ cookies}
\]

This can be set up as a proportion:

\[
\frac{1}{9}}{24} = \frac{\frac{11}{12}}{x}
\]

To solve for \( x \), cross-multiply:

\[
\frac{1}{9} \times x = \frac{11}{12} \times 24
\]

Now, let's calculate the right side:

\[
\frac{11}{12} \times 24 = \frac{11 \times 24}{12} = \frac{264}{12} = 22
\]

So, the equation becomes:

\[
\frac{1}{9} \times x = 22
\]

To solve for \( x \), multiply both sides by 9:

\[
x = 22 \times 9 = 198
\]

Thus, Jason made **198 cookies**.

Would you like more details or have any questions?

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Here are some related questions to consider:

1. If the recipe called for \(\frac{1}{4}\) of a pack of chocolate chips, how many cookies could Jason make with \(\frac{11}{12}\) of a pack?
2. How many packs of chocolate chips are required to make 96 cookies?
3. If Jason had used only \(\frac{5}{12}\) of a pack of chocolate chips, how many cookies would he have made?
4. How many cookies could Jason make if he had used exactly 1 pack of chocolate chips?
5. What if Jason used \(\frac{11}{18}\) of a pack of chocolate chips? How many cookies would that yield?
6. How many packs of chocolate chips would Jason need to make 500 cookies?
7. How many cookies could Jason make if he had 2 packs of chocolate chips?
8. If the recipe is adjusted to make 30 cookies using the same amount of chocolate chips, how many packs are needed for 180 cookies?

**Tip:** When working with proportions, always cross-multiply to solve for the unknown variable.

Learn how to solve a proportional problem involving cookies and chocolate chips. Calculate how many cookies Jason made using fractions and proportions. Suitable for Grades 5-6.

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