Answer :
To solve this problem, we need to determine how many members of the class will each receive 8 pencils, given that there are no pencils left over from a total of 176 pencils.
Let's break it down step-by-step:
1. Understand the relationship in the problem:
- We know that the total number of pencils is 176.
- Each class member should receive 8 pencils.
- We need to find out how many class members there are.
2. Set up the equation:
- Let [tex]\( m \)[/tex] represent the number of class members.
- According to the problem, the number of pencils each member gets (8) multiplied by the number of class members (m) equals the total number of pencils:
[tex]\[
8m = 176
\][/tex]
3. Solve the equation for [tex]\( m \)[/tex]:
- To find [tex]\( m \)[/tex], divide both sides of the equation by 8:
[tex]\[
m = \frac{176}{8}
\][/tex]
4. Perform the division:
- Calculate [tex]\( \frac{176}{8} \)[/tex] which gives us:
[tex]\[
m = 22
\][/tex]
Therefore, there are 22 class members, each receiving 8 pencils, which uses up all 176 pencils. Hence, the equation that represents the situation is [tex]\( 8m = 176 \)[/tex], and the number of class members is [tex]\( 22 \)[/tex].
Let's break it down step-by-step:
1. Understand the relationship in the problem:
- We know that the total number of pencils is 176.
- Each class member should receive 8 pencils.
- We need to find out how many class members there are.
2. Set up the equation:
- Let [tex]\( m \)[/tex] represent the number of class members.
- According to the problem, the number of pencils each member gets (8) multiplied by the number of class members (m) equals the total number of pencils:
[tex]\[
8m = 176
\][/tex]
3. Solve the equation for [tex]\( m \)[/tex]:
- To find [tex]\( m \)[/tex], divide both sides of the equation by 8:
[tex]\[
m = \frac{176}{8}
\][/tex]
4. Perform the division:
- Calculate [tex]\( \frac{176}{8} \)[/tex] which gives us:
[tex]\[
m = 22
\][/tex]
Therefore, there are 22 class members, each receiving 8 pencils, which uses up all 176 pencils. Hence, the equation that represents the situation is [tex]\( 8m = 176 \)[/tex], and the number of class members is [tex]\( 22 \)[/tex].
