Question

ason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverware and sells for $3.00.
If the machine costs $9000, and runs for 24 hours a day,how many days will it take the machine to take enough silverware to pay for itself?

Answer 1

ason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverware and sells for $3.00. If the machine costs $9000, and runs for 24 hours a day, how many days will it take the machine to take enough silverware to pay for itself?

Solution:

We form a proportion. Three dollars worth 50 parts, then $9,000 - x-parts 50 pieces of silverware sells for $3.00.

X pieces of silverware sells for $9000 -> x = 50*9000/30 = 150000

So 150000 pieces of silverware sells for $9000

The machine produces 1,000 pieces of silverware in two hours

Then 150000 pieces of silverware in Y hours -> Y=150000*2/1000 = 300 hours = 12.5 days

Answer: 12.5 days will it take the machine to take enough silverware to pay for itself