Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

Trey Montes

Trey Montes

Answered question

2023-03-28

Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

Answer & Explanation

nickalasaurus6ea0

nickalasaurus6ea0

Beginner2023-03-29Added 5 answers

$/pound will be used as the "units". Calculations will involve converting ounces to pounds. The value of our conversion ratio is:
16 ounce/pound
To ensure that the mathematical value you will calculate corresponds to the desired real answer, use "Dimensional Analysis."
$ 2.40 3 o z 16 o z p o u n d = $ 12.80 p o u n d
Remember – the MATH will always give you some number! For it to be correct and useful, you need to make sure that the dimensions describe what you want.
shorteghurlxh0m

shorteghurlxh0m

Beginner2023-03-30Added 10 answers

The model's development
Transform the given data into ratio form, but in fractional form.
When you see the wording: per ̲ pound' you are being told "for each pound" and this is to be the denominator (bottom number) of the ratio (fraction).
So we have: cost 1 pound as our target
Note that 1 pound is 16oz
$ 2.40 3 o z cost 16 o z = cost 1 pound
The sign means equivalent to
Let x be the unknowable cost, thus:
$ 2.40 3 o z x 16 o z = x 1 pound
Therefore, if we can figure out a way to convert the 3 oz to 16 oz and then do the same for the numerator (top number), then we have the solution.

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