SOLUTION: Five machines can produce 12 gallons of Glorious Goo in 10 days. How many days would it take 4 machines to produce 48 gallons?

Question 327367: Five machines can produce 12 gallons of Glorious Goo in 10 days. How many days would it take 4 machines to produce 48 gallons?

Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
If 5 machines produce 12 gallons in 10 days, then it would take 5 machines to produce 24 gallons in 20 days, 36 gallons in 30 days, 48 gallons in 40 days.
It takes 5 machines 40 days to produce 48 gallons, so intuituvely, we know 4 machines will take longer.
40/(4/5)=50 days for 4 machines to produce 48 gallons.
Another way to look at it is noting that if 5 machines produce 12 gallons in 10 days, then each machine produces .24 gallons per day. See, if 5 machines produce 12 gallon in 10 days, then 5 machines produce 1.2 gallons per day.
1.2/5=.24
Now, since each machine produces .24 gallons per day, 4 machines produce
.96 gallons per day. 48/.96=50 days.

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