Alright, let's walk through a detailed, step-by-step solution to find the number of 80 kg drums, [tex]\( n \)[/tex].
1. Understanding the Problem:
- We need to determine the number of drums, where each drum weighs 80 kg, required to reach a total weight.
2. Define the Variables:
- Let [tex]\( n \)[/tex] be the number of drums.
- Each drum weighs 80 kg.
- Let [tex]\( W \)[/tex] be the total weight.
3. Formulate the Equation:
- The total weight [tex]\( W \)[/tex] can be expressed as the product of the weight of each drum and the number of drums. Therefore:
[tex]\[
80n = W
\][/tex]
4. Identify the Total Weight (if given, or assumed):
- For this problem, let's assume the total weight [tex]\( W \)[/tex] is 320 kg (as an example).
5. Substitute the Total Weight into the Equation:
- Substitute [tex]\( W = 320 \)[/tex] into the equation:
[tex]\[
80n = 320
\][/tex]
6. Solve for [tex]\( n \)[/tex]:
- To isolate [tex]\( n \)[/tex], divide both sides of the equation by 80:
[tex]\[
n = \frac{320}{80}
\][/tex]
- Perform the division:
[tex]\[
n = 4
\][/tex]
Therefore, the number of 80 kg drums required to reach a total weight of 320 kg is [tex]\( 4 \)[/tex].
