Sally is running a sunblock factory and there is a machine to fill the sunblock bottles. The machine can fill 150 bottles on hour, and each bottle takes 20 ounces of sunblock. If sally runs the machine for 10 hours, at least how many gallons will sally need to fill all of the bottles?

Question

William Moody

Mathematics

27 November, 09:57

Sally is running a sunblock factory and there is a machine to fill the sunblock bottles. The machine can fill 150 bottles on hour, and each bottle takes 20 ounces of sunblock. If sally runs the machine for 10 hours, at least how many gallons will sally need to fill all of the bottles?

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Answers (1)

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Jakob Moody · Answer 1

Sally would need at least 235 gallons of sunblock.

Step-by-step explanation:

We can solve this problem be setting up an equation to first find the number of total ounces needed for all the bottles filled in 10 hours and then converting ounces to gallons. Since the machine can fill 150 bottles an hour, and each bottle takes 20 ounces, our equation could be set up like this:

20 (150 x 10) = x, where x = number of ounces

20 (1500) = 30000 ounces

Since there are 128 ounces per gallon, we would then divide the total number number of ounces by 128: 30000 : 128 = 234.375 gallons. Assuming we would have to use full gallons, we would round to the nearest whole number - 235 gallons.