Sure, let's address a detailed step-by-step mathematical solution to a similar problem based on the provided numerical result. For example:
Problem statement:
Initially, there are 9 computers in a computer lab. Each day, 5 new computers are added to the lab. Calculate the total number of new computers added and the final total number of computers in the lab after 4 days.
Step-by-step solution:
1. Identify the initial number of computers:
[tex]\[ \text{Initial number of computers} = 9 \][/tex]
2. Determine the number of computers added per day:
[tex]\[ \text{Computers added per day} = 5 \][/tex]
3. Find the total number of days over which computers are added:
[tex]\[ \text{Total days} = 4 \][/tex]
4. Calculate the total number of computers added over the given period:
[tex]\[ \text{Total computers added} = \text{Computers added per day} \times \text{Total days} \][/tex]
Substituting the numbers:
[tex]\[ \text{Total computers added} = 5 \times 4 = 20 \][/tex]
5. Calculate the final total number of computers in the lab:
[tex]\[ \text{Final total number of computers} = \text{Initial number of computers} + \text{Total computers added} \][/tex]
Substituting the numbers:
[tex]\[ \text{Final total number of computers} = 9 + 20 = 29 \][/tex]
Answer:
- The total number of new computers added over 4 days is 20.
- The final total number of computers in the lab after 4 days is 29.
I hope this breakdown helps you understand the process of solving this problem!
