Gardner Harris
06/13/2023 · Middle School
At the Throw Factory, the assembly line produces 122 baseballs in a batch. The baseballs are packaged in boxes with 11 each. If 8 batches are made in one day, how many baseballs will be leftover at the end of it?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find out how many baseballs will be leftover at the end of the day, we can follow these steps:
1. **Calculate the total number of baseballs produced in one day:**
\[
\text{Total baseballs} = \text{Baseballs per batch} \times \text{Number of batches}
\]
\[
\text{Total baseballs} = 122 \times 8 = 976
\]
2. **Determine how many boxes can be filled with the total baseballs:**
\[
\text{Baseballs per box} = 11
\]
\[
\text{Number of boxes} = \frac{\text{Total baseballs}}{\text{Baseballs per box}} = \frac{976}{11}
\]
Performing the division:
\[
976 \div 11 = 88 \quad \text{(with a remainder)}
\]
3. **Calculate the total number of baseballs used in the boxes:**
\[
\text{Baseballs used} = \text{Number of boxes} \times \text{Baseballs per box} = 88 \times 11 = 968
\]
4. **Calculate the leftover baseballs:**
\[
\text{Leftover baseballs} = \text{Total baseballs} - \text{Baseballs used}
\]
\[
\text{Leftover baseballs} = 976 - 968 = 8
\]
Thus, the number of baseballs that will be leftover at the end of the day is **8**.
Quick Answer
The number of leftover baseballs is 8.
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