Question

A juice company produces 8,064 cartons of juice in 21 days. Each day, they produced the same number of cartons and delivered those cartons to 16 area coffee shops. The cartons were delivered in cases of six cartons per case, and each coffee shop received an equal number of cases in each delivery. How many cases were delivered to each coffee shop each day?

Answer 1

8064 cartons in 21 days......8064/21 = 384 cartons per day

the cartons were delivered in cases of 6.....384 / 6 = 64 cases

each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==

Answer 2

`4\ cases`

Explanation:

Step 1

Divide the total cartons of juice that the company produces in
`21` days by the total days

so

`(8,064)/(21)(cartons)/(days)=384(cartons)/(day)`

Step 2

Divide the total cartons of juice that the company produces in one day by the total coffee shops

so

`(384)/(16)(cartons)/(coffee-shop)=24(cartons)/(coffee-shop)`

Step 3

Divide the total cartons of juice that the company delivered per day to each coffee shop by six (number of cartons per case)

so

`(24)/(6)=4\ cases`