Question

Problem number 6.

A landowner used 7/12 of a field for wheat and 3/8 for
corn, The rest of the field was divided into equal small
areas for various vegetables. If the total area is 600 square
meters, how many small areas were there?

Answer 1

To find the number of small areas for vegetables on the field, subtract the areas used for wheat and corn from the total field area. Then divide the remaining fraction of the field by the area of each small area.

Step-by-step explanation:

To find the number of small areas for vegetables, we need to subtract the areas used for wheat and corn from the total field area. The fraction of the field used for vegetables is equal to 1 minus the sum of the fractions used for wheat and corn:

1 - (7/12 + 3/8) = 1 - (14/24 + 9/24) = 1 - (23/24) = 1/24

Since the remaining fraction is 1/24, each small area represents 1/24 of the total field area. To find the number of small areas, we divide the total area by the area of each small area:

600 / (1/24) = 600 * 24 = 14,400

Therefore, there were 14,400 small areas for various vegetables on the field.

Learn more about Finding number of small areas for vegetables in a field