A grocer received 2 cases of large eggs and 3
cases of medium eggs. Each case of large eggs
contained 10 cartons with 18 eggs in each carton,
and each case of medium eggs contained 14
cartons with 12 eggs in each carton. How many
eggs did the grocer receive? Simplify the
following expression to solve.

Question

UpStudy AI · Accepted Answer

To find the total number of eggs the grocer received, we can break it down into two parts: the large eggs and the medium eggs.

**Step 1: Calculate the number of large eggs.**

- Each case of large eggs contains 10 cartons.
- Each carton contains 18 eggs.
- The grocer received 2 cases of large eggs.

The total number of large eggs can be calculated as follows:

$$
\text{Total large eggs} = \text{Number of cases} \times \text{Number of cartons per case} \times \text{Number of eggs per carton}
$$

$$
\text{Total large eggs} = 2 \times 10 \times 18
$$

Calculating this:

$$
2 \times 10 = 20
$$
$$
20 \times 18 = 360
$$

So, the grocer received **360 large eggs**.

**Step 2: Calculate the number of medium eggs.**

- Each case of medium eggs contains 14 cartons.
- Each carton contains 12 eggs.
- The grocer received 3 cases of medium eggs.

The total number of medium eggs can be calculated as follows:

$$
\text{Total medium eggs} = \text{Number of cases} \times \text{Number of cartons per case} \times \text{Number of eggs per carton}
$$

$$
\text{Total medium eggs} = 3 \times 14 \times 12
$$

Calculating this:

$$
3 \times 14 = 42
$$
$$
42 \times 12 = 504
$$

So, the grocer received **504 medium eggs**.

**Step 3: Calculate the total number of eggs.**

Now, we can find the total number of eggs by adding the large eggs and medium eggs together:

$$
\text{Total eggs} = \text{Total large eggs} + \text{Total medium eggs}
$$

$$
\text{Total eggs} = 360 + 504
$$

Calculating this:

$$
360 + 504 = 864
$$

Thus, the grocer received a total of **864 eggs**.
The grocer received a total of 864 eggs.

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