Sure, let's solve these questions step-by-step.
### Question 7:
Problem: A battalion contains 6 companies, and each company contains 167 soldiers. How many soldiers will be there in 3567 battalions?
Step-by-Step Solution:
1. First, calculate the total number of soldiers in one battalion.
- Number of companies in a battalion: 6
- Number of soldiers in one company: 167
- Total number of soldiers in one battalion is calculated as:
[tex]\[
\text{Number of soldiers in one battalion} = \text{Number of companies} \times \text{Number of soldiers in one company}
\][/tex]
Therefore,
[tex]\[
\text{Number of soldiers in one battalion} = 6 \times 167 = 1002
\][/tex]
2. Next, calculate the total number of soldiers in 3567 battalions.
- Number of battalions: 3567
- Number of soldiers in one battalion: 1002
- Total number of soldiers in 3567 battalions is calculated as:
[tex]\[
\text{Total number of soldiers in 3567 battalions} = \text{Number of battalions} \times \text{Number of soldiers in one battalion}
\][/tex]
Therefore,
[tex]\[
\text{Total number of soldiers in 3567 battalions} = 3567 \times 1002 = 3574134
\][/tex]
### Answer for Question 7:
The total number of soldiers in 3567 battalions is 3,574,134.
---
### Question 8:
Problem: A factory manufactures 68,549 bolts in a day. How many bolts will be manufactured in an ordinary year?
Step-by-Step Solution:
1. First, determine the number of days in an ordinary year.
- An ordinary year (non-leap year) has 365 days.
2. Next, calculate the total number of bolts manufactured in an ordinary year.
- Number of bolts manufactured per day: 68,549
- Number of days in a year: 365
- Total number of bolts manufactured in a year is calculated as:
[tex]\[
\text{Total number of bolts in a year} = \text{Number of bolts per day} \times \text{Number of days in a year}
\][/tex]
Therefore,
[tex]\[
\text{Total number of bolts in a year} = 68549 \times 365 = 25020385
\][/tex]
### Answer for Question 8:
The total number of bolts manufactured in an ordinary year is 25,020,385.
