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 & 5 \\
\hline Mangoes & 3 \\
\hline Blueberries & 2 \\
\hline Blackberries & 1 \\
\hline \hline
\end{tabular}

If a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make?

A. 4 batches
B. 5 batches
C. 6 batches
D. 7 batches



Answer :

To solve the problem, let's carefully follow each step.

1. Identify the Relevant Ingredients and Their Amounts:

According to the problem, we are interested in mangoes and blueberries. From the table, the recipe includes the following amounts for one batch:
- Mangoes: 3 cups
- Blueberries: 2 cups

2. Total Cups of Fruits in One Batch:

We need to find out how many cups of mangoes and blueberries are used in one batch together:
- Total cups per batch = Cups of Mangoes + Cups of Blueberries
- Total cups per batch = 3 cups (Mangoes) + 2 cups (Blueberries)
- Total cups per batch = 5 cups

3. Given Total Amount of Fruits:

The problem states that a total of 30 cups of mangoes and blueberries are used.

4. Calculate the Number of Batches:

To find out the number of batches made, we will divide the total cups used by the number of cups per batch:
- Number of batches [tex]\( = \frac{\text{Total cups used}}{\text{Total cups per batch}} \)[/tex]
- Number of batches [tex]\( = \frac{30 \text{ cups}}{5 \text{ cups/batch}} \)[/tex]
- Number of batches [tex]\( = 6.0 \)[/tex]

Therefore, the chef made 6 batches of the recipe.

Hence, the correct answer is:

6 batches