Sherman Montgomery
12/04/2023 · Elementary School
11) At the Writing Factory, the assembly line produces 225 pencils in a batch. The pencils are packaged in boxes with 20 each. If 3 batches are made in one day, how many pencils will be leftover at the end of it?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find out how many pencils will be leftover at the end of the day, we can follow these steps:
1. **Calculate the total number of pencils produced in one day:**
\[
\text{Total pencils} = \text{pencils per batch} \times \text{number of batches}
\]
\[
\text{Total pencils} = 225 \times 3 = 675
\]
2. **Determine how many boxes can be filled with the total number of pencils:**
\[
\text{Boxes filled} = \frac{\text{Total pencils}}{\text{pencils per box}} = \frac{675}{20}
\]
Performing the division:
\[
\text{Boxes filled} = 33.75
\]
Since we can only fill whole boxes, we can fill 33 boxes completely.
3. **Calculate the total number of pencils used in the filled boxes:**
\[
\text{Pencils used} = \text{Boxes filled} \times \text{pencils per box} = 33 \times 20 = 660
\]
4. **Calculate the number of leftover pencils:**
\[
\text{Leftover pencils} = \text{Total pencils} - \text{Pencils used} = 675 - 660 = 15
\]
Therefore, the number of pencils leftover at the end of the day is **15**.
Quick Answer
The number of pencils leftover is 15.
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