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

Answer:

a) 1/5 bucket = 1 gallon

b) 8.4 buckets = 1 barrel

c) 5376 fl oz per barrel

Step-by-step 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:

$\frac{128 fl oz}{1 gallon}*\frac{1 gallon}{1/5 buckets}*\frac{1 bucket}{1/8.4 barrels}$

These fractions can be simplified to $\frac{128 fl oz}{1 gallon}*\frac{5 gallon}{1 bucket}*\frac{8.4 buckets}{1 barrel}$

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.)