In country​ A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,636​, find the number manufactured in country B and the number manufactured in country A

Let's solve this step by step.

### Step 1: Define the variables
- Let \( x \) be the number of cars manufactured per day in country B.
- Then, the number of cars manufactured per day in country A is \( 5x \) (since it's five times as many as in country B).

### Step 2: Set up the equation
The total number of cars manufactured per day in both countries combined is 39,636. Therefore, we can write the equation:
\[
x + 5x = 39,636
\]

### Step 3: Simplify and solve for \( x \)
Combine the like terms:
\[
6x = 39,636
\]
Now, solve for \( x \):
\[
x = \frac{39,636}{6} = 6,606
\]

### Step 4: Find the number of cars manufactured in each country
- **Country B:** \( x = 6,606 \) cars per day.
- **Country A:** \( 5x = 5 \times 6,606 = 33,030 \) cars per day.

### Conclusion
- The number of cars manufactured per day in **Country B** is **6,606**.
- The number of cars manufactured per day in **Country A** is **33,030**.

Would you like more details on this problem, or do you have any other questions?

Here are five related questions you might find interesting:
1. What if Country A manufactured 7 times as many cars as Country B?
2. How would the total number of cars change if both countries doubled their production?
3. What percentage of the total cars does Country B manufacture?
4. If the number of cars manufactured in Country B decreased by 10%, what would be the new total?
5. How many cars would be produced in both countries in a week?

**Tip:** When solving word problems, always define variables clearly and set up equations based on the relationships described.

In country A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,636, find the number manufactured in country B and the number manufactured in country A.

Learn how to solve a linear equation problem involving the daily car production numbers in two countries. This step-by-step solution covers algebraic concepts and basic properties of equality. Suitable for students in Grades 6-8.

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