A farmer harvested 144 bags of maize in one season. In the second season the yield increased in the ratio 4:3. The farmer supplied all the bags of maize harvested in the second season equally to three millers. How many bags of maize did each miller get?

Take the bags of maize grown in the second season as x.

The ratio of the bags of maize in the second and first seasons is the same as the given ratio.

=> x/144 = 4/3
=> x = (144/3)*4
=> x = 48*4
=> x = 192

Now, if 192 bags were divided equally among three millers, how many will each get?

64 bags each

To find out how many bags of maize each miller got, we need to determine the total number of bags of maize harvested in the second season.

Let's assume that the yield in the second season is represented by 4x (the numerator) and 3x (the denominator), where x is a common factor.

Since the ratio of the yield in the second season is 4:3, the total yield in the second season is 4x + 3x = 7x.

We know that the total number of bags of maize harvested in the second season is 144.

Therefore, we can set up the equation:

7x = 144

To solve for x, we divide both sides of the equation by 7:

x = 144/7 = 20.57 (approximately)

Since we can't have partially filled bags, we need to round down x to the nearest whole number. Thus, x = 20.

Now, to find out how many bags of maize each miller got, we divide the total yield in the second season (7x) equally among the three millers:

Each miller gets (7x)/3 = (7*20)/3 = 140/3 = 46.67 (approximately)

Again, since we can't have partially filled bags, we need to round down to the nearest whole number. Thus, each miller gets 46 bags of maize.

To find out how many bags of maize each miller got, we need to break down the steps:

Step 1: Determine the total number of bags of maize harvested in the second season.
In the first season, the farmer harvested 144 bags of maize. In the second season, the yield increased in a ratio of 4:3. This means the total yield in the second season is divided into 7 parts, with 4 parts representing the first ratio and 3 parts representing the second ratio.

To calculate the total number of bags of maize harvested in the second season, we can use the concept of proportion. Since 4 parts out of 7 represent the first ratio, we can set it up as follows:

4/7 = x/144

To find the value of x (the total number of bags of maize harvested in the second season), we can cross-multiply and solve for x:

4 * 144 = 7 * x
576 = 7x
x = 576 / 7
x ≈ 82.29

So, the total number of bags of maize harvested in the second season is approximately 82.29.

Step 2: Determine the number of bags of maize each miller gets.
The bags of maize harvested in the second season are supplied equally to three millers. To find out how many bags each miller gets, we should divide the total number of bags harvested in the second season by the number of millers.

Each miller will get approximately 82.29 / 3 = 27.43 bags of maize.

Since you cannot have a fraction of a bag, we need to round the number. Depending on the specific context or any additional guidelines given, the bags can be rounded up or down to the nearest whole number. In this case, if we round to the nearest whole number, each miller would receive 27 bags.