Question

There are 7 and 2/3 pounds of walnut in a container, which will be divided equally into containers that hold 1 and 1/3 pounds. That would fill ____ and 9/12 containers. How many containers will it fill?

a) 5 and 2/12 containers
b) 6 and 9/12 containers
c) 7 and 1/12 containers
d) 8 and 3/12 containers

Answer 1

To find the number of containers that can be filled with 7 and 2/3 pounds of walnuts, divided equally into containers that hold 1 and 1/3 pounds, we need to divide the total weight of the walnuts by the weight of each container. The walnuts will fill 5 and 9/12 containers.

Step-by-step explanation:

To find the number of containers that can be filled with 7 and 2/3 pounds of walnuts, divided equally into containers that hold 1 and 1/3 pounds, we need to divide the total weight of the walnuts by the weight of each container.

7 and 2/3 pounds of walnuts is equal to 7 + 2/3 = 23/3 pounds.

1 and 1/3 pounds is equal to 1 + 1/3 = 4/3 pounds.

To divide 23/3 pounds by 4/3 pounds, we need to multiply 23/3 by the reciprocal of 4/3, which is 3/4.

When we multiply 23/3 by 3/4, we get (23/3) * (3/4) = (23 * 3)/(3 * 4) = 69/12 = 5 and 9/12.

Therefore, the walnuts will fill

5 and 9/12

containers.