Word Problem

Question

The time, t, in hours that it takes x people to bake n pies varies directly with the number of pies and inversely with the number of people. Suppose 6 people can bake 12 pies in 3 hours. How many people are needed to bake 28 pies in 5.25 hours. 

Need the steps and answer please. 

Answer 1

t = n/p (k)

 

3 = 12/6 (k)

3 = 2 (k)

3/2 = k

 

5.25 = 28/p (3/2)

5.25 = 42/p

5.25p = 42

p = 8

 

Eight people could bake 28 pies in 5.25 hours.