Question

In country A, about four times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 33,010, find the

number manufactured in country B and the number manufactured in country A.
In country A,
In country B,
cars are manufactured per day.
cars are manufactured per day.

Answer 1

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.