Question

(Need help answering these questions… please don’t give me links in the comments, because it doesn’t help me. Answer it in comments please. )

A bucket holds 5 gallons of water and a barrel holds 8.4 buckets of water.

a. What is the conversion factor to change gallons to buckets?

b. What is the conversion factor to change buckets to barrels?

c. A gallon (gal) of water is equivalent to 128 fluid ounces (fl oz). How many fl oz of water are in 1 barrel?

Answer 1

a) 1/5 bucket = 1 gallon

b) 8.4 buckets = 1 barrel

c) 5376 fl oz per barrel

Explanation:

a) From the given information, 1 bucket = 5 gallons. This means 1/5 of a bucket is 1 gallon.

b) From the given information, 8.4 buckets = 1 barrel. This seems to be in the form that the question is asking for. If the question was asking how many barrels were in a bucket the answer would be 1/8.4 barrels = 1 bucket.

c) From the previously determined conversion factors, we can take ounces to barrels by converting barrels down to gallons.

1/8.4 barrels = 1 bucket; 1/5 bucket = 1 gallon; 1 gallon = 128 fluid ounces

We need to set up a series of fractions that use these factors:

`(128 fl oz)/(1 gallon)*(1 gallon)/(1/5 buckets)*(1 bucket)/(1/8.4 barrels)`

These fractions can be simplified to
`(128 fl oz)/(1 gallon)*(5 gallon)/(1 bucket)*(8.4 buckets)/(1 barrel)`

Multiply the fractions: 5376 fl oz per barrel

(Note that the units cancel out in the fractions so that only fluid ounces per barrel are left.)