Final answer:
The number of cars manufactured per day in country B is 6,602, and in country A, it is 26,408.
Step-by-step explanation:
To solve this problem, we need to set up a system of equations. Let the number of cars manufactured per day in country B be x. Since country A manufactures four times as many cars as country B does, the number of cars manufactured in country A will be 4x. The total number of cars manufactured by both countries per day is given as 33,010. Therefore, we can express this as an equation:
x + 4x = 33,010
Combining like terms gives us:
5x = 33,010
To find x, we divide both sides of the equation by 5:
x = 33,010 / 5
x = 6,602
Therefore, the number of cars manufactured per day in country B is 6,602. To find the number of cars manufactured in country A, we multiply this number by 4:
4x = 4 × 6,602
4x = 26,408
Hence, 26,408 cars are manufactured per day in country A, and 6,602 cars are manufactured per day in country B.