Question

At a farm, four employees harvest 48 pounds of food over a certain numbers of hours. Each employee works the numbered of hours shown. Employee A: 6 hours employee B: 4 hours employee C: 6 hours employee D: 8 hours The number of pounds of food harvested by each employee is proportional to the number of hours worked. Fill in the table with the amount of food, in pounds, each employee harvested.

Answer 1

Answer:

2 lbs an hour, and multiply that by the number of hours each employee worked

a: 12 lbs, b: 8lbs, c:12 lbs, d:16 lbs

Answer 2

Given: Total pounds of food = 48

A works for 6 hours, B works for 4 hours, C works for 6 hours and D works for 8 hours

To find: Amount of food harvested by each employee

Solution: The ratio of the number of hours the four employees worked:

A:B:C:D = 6:4:6:8

             = 3:2:3:4

Since the number of pounds of food harvested by each employee is proportional to the number of hours worked, we can use the above ratio to find the amount of food harvested by each employee.

Therefore according to the question,

Amount of food harvested by A = 3/(3 + 2 + 3 + 4) × 48

                                                     = 3/12 × 48 = 12 pounds

Amount of food harvested by B = 2/12 × 48 = 8 pounds

Amount of food harvested by C = 3/12 × 48 = 12 pounds

Amount of food harvested by D = 4/12 × 48 = 16 pounds

Answer: A = 12 lbs, B = 8 lbs, C = 12 lbs, D = 16 lbs