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Answer:
35.75 ounces
Step-by-step explanation:
Ratios indicate the relation between two quantities, how many or how often one phenomenon occurs relative to the other.
Ratios can be written using a colon, fraction, or using the word "to".
Constant values like -2, 1/2, etc. can be multiplied by both parts of the ratio to find another equivalent ratio to the initial.
For example,
the ratio 1/2 multiplied by the constant 3 will result in 3/6 which is also equivalent to 1/2.
In this case, the two quantities in question are ounces in a package of Oreos and the number of packages of Oreos.
[tex]\hrulefill[/tex]
We're told that for every 1 package, there are 14.3 oz of Oreos. We need to find how many oz there are in 2.5 packages.
A ratio between packages and oz can be written.
[tex]\rm \dfrac{1 ~ package}{14.3 ~oz}[/tex]
We multiply both sides of the ratio by 2.5 to find the equivalent amount of ounces for 2.5 packages.
[tex]\rm \dfrac{1 ~ package}{14.3 ~oz} \cdot \dfrac{2.5}{2.5} = \dfrac{2.5 ~ package}{35.75 ~oz}[/tex]
So, in 2.5 packages there are 35.75 ounces of Oreos.
If we know that the ratio of oz to 1 package will equal the number of oz to 2.5 packages then we can equate their ratios and solve for the missing variable.
[tex]\rm \dfrac{1 ~ package}{14.3 ~oz} = \dfrac{2.5 ~ package}{x ~oz}[/tex]
[tex]\rm 1x ~ package \cdot oz = 35.75 ~ package \cdot oz[/tex]
[tex]\rm x ~ oz = 35.75 ~ oz[/tex]
So, there are 35.75 ounces in 2.5 packages of Oreos.