Let's solve the first problem step by step.

Problem 1:

"A batch of cookies requires 8 cups of chocolate chips for every 12 cups of dough. How many cups of chocolate chips are needed for 24 cups of dough?"

This is a ratio problem. The given ratio is:

$\frac{8 \text{ cups of chocolate chips}}{12 \text{ cups of dough}} = \frac{x \text{ cups of chocolate chips}}{24 \text{ cups of dough}}$

We can solve for $x$ using cross-multiplication:

$8 \times 24 = 12 \times x$

$192 = 12x$

Now, solve for $x$:

$x = \frac{192}{12} = 16$

So, 16 cups of chocolate chips are needed for 24 cups of dough.

Would you like more details or have any further questions?

Related Questions:

1. If 10 cups of chocolate chips are needed, how many cups of dough would be used?
2. How many cups of chocolate chips are needed for 30 cups of dough?
3. If 5 cups of dough require a certain amount of chocolate chips, how can we calculate it?
4. What is the ratio of chocolate chips to dough for any amount of dough?
5. How can you use a proportion to calculate the number of cups of chocolate chips for 36 cups of dough?

Tip:

Always remember that when dealing with ratios, cross-multiplication is a powerful tool to find the missing value in a proportion.