Question
a teacher is making 7 identical supply boxes for each table in her classroom. each box contains some pencils and 11 pens. the teacher uses a total of 182 pencils and pens. determine the number of pencils that are in each box.
Answers
GPT-4o mini
Let's denote the number of pencils in each box as \( p \). Since each box contains 11 pens and there are 7 boxes, the total number of pens in all the boxes is:
\[
7 \times 11 = 77 \text{ pens}
\]
The total number of pencils and pens is given as 182. We can set up the following equation based on this information:
\[
\text{Total number of pencils} + \text{Total number of pens} = 182
\]
Substituting for the total number of pens:
\[
7p + 77 = 182
\]
To find \( p \), we need to isolate it. First, subtract 77 from both sides:
\[
7p = 182 - 77
\]
\[
7p = 105
\]
Next, divide both sides by 7:
\[
p = \frac{105}{7} = 15
\]
Thus, the number of pencils in each box is:
\[
\boxed{15}
\]
\[
7 \times 11 = 77 \text{ pens}
\]
The total number of pencils and pens is given as 182. We can set up the following equation based on this information:
\[
\text{Total number of pencils} + \text{Total number of pens} = 182
\]
Substituting for the total number of pens:
\[
7p + 77 = 182
\]
To find \( p \), we need to isolate it. First, subtract 77 from both sides:
\[
7p = 182 - 77
\]
\[
7p = 105
\]
Next, divide both sides by 7:
\[
p = \frac{105}{7} = 15
\]
Thus, the number of pencils in each box is:
\[
\boxed{15}
\]