A chef has 4 cups of raisins to make oatmeal cookies. The recipe calls for [tex]$\frac{1}{3}$[/tex] cup of raisins for each batch of cookies. How many batches of cookies can the chef make?

A. [tex]$4 \frac{1}{3}$[/tex]
B. [tex][tex]$\frac{1}{3}$[/tex][/tex]
C. 12
D. [tex]$1 \frac{1}{3}$[/tex]



Answer :

To solve the problem, we need to determine how many batches of oatmeal cookies the chef can make with 4 cups of raisins, given that each batch requires [tex]\(\frac{1}{3}\)[/tex] cup of raisins.

Here’s how we can do it step by step:

1. Identify the total amount of raisins available:
The chef has 4 cups of raisins.

2. Determine the amount of raisins required per batch:
The recipe calls for [tex]\(\frac{1}{3}\)[/tex] cup of raisins for each batch of cookies.

3. Calculate the number of batches:
To find out how many batches the chef can make, we divide the total amount of raisins by the amount required per batch.
[tex]\[ \text{Number of batches} = \frac{\text{Total raisins available}}{\text{Raisins required per batch}} \][/tex]
In this case:
[tex]\[ \text{Number of batches} = \frac{4}{\frac{1}{3}} \][/tex]

4. Simplify the division:
Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\[ \frac{4}{\frac{1}{3}} = 4 \times 3 \][/tex]
This gives:
[tex]\[ 4 \times 3 = 12 \][/tex]

Therefore, the chef can make 12 batches of cookies.

Based on the given options, the correct answer is:
- c. 12