A chef uses a recipe with the following ingredients. Then the chef decides to make more than one batch of the recipe.

\begin{tabular}{|c|c|}
\hline Fruit & Cups Used \\
\hline Apples & 3 \\
\hline Mangoes & 1 \\
\hline Blueberries & 2 \\
\hline Blackberries & 1 \\
\hline
\end{tabular}

If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make?

A. 2 batches
B. 4 batches
C. 6 batches
D. 8 batches



Answer :

To determine how many batches the chef made using a total of 16 cups of apples and blackberries, we should follow these steps:

1. Identify the amount of each fruit used per batch:

- Apples used per batch: 3 cups
- Blackberries used per batch: 1 cup

2. Calculate the total cups of apples and blackberries used per batch:

Since each batch uses 3 cups of apples and 1 cup of blackberries, we add these amounts:

[tex]\[ 3 \text{ cups (apples)} + 1 \text{ cup (blackberries)} = 4 \text{ cups (total per batch)} \][/tex]

3. Determine the total number of batches that use 16 cups of apples and blackberries:

Given the total amount of cups of apples and blackberries used is 16, and each batch uses 4 cups, we can find the number of batches by dividing the total cups by the cups used per batch:

[tex]\[ \frac{16 \text{ cups}}{4 \text{ cups per batch}} = 4 \text{ batches} \][/tex]

Thus, the chef made 4 batches of the recipe.

So, the correct answer is:
[tex]\[ \boxed{4 \text{ batches}} \][/tex]