To use the concept of proportion to make the given

Harlen Pritchard

Harlen Pritchard

Answered question

2021-08-15

To use the concept of proportion to make the given conversion.
Given information: To convert 146.4 ounces to pounds.

Answer & Explanation

mhalmantus

mhalmantus

Skilled2021-08-16Added 105 answers

Calculation:
As we know that from the definition, a mathematical equation signifying equality of two ratios is called a proportion. Proportion is used when three quantities are known and fourth quantity is unknown. We can use equality of two ratios for finding the fourth unknown quantity. For example: ab=cd is a proportion.
As we know that 1 pounds =16 ounces.
So, we can write in the form of ratio as 1 pound16 ounce.
Let us suppose x pounds =146.4 ounces
So, we can write in the form of ratio as x pound146.4 ounce
As per the definition of proportion both ratio should be equal. i.e.
1 pound16 ounce=x pound146.4 ounce
Applying cross multiplication.
16×x=146.4×1
16x=146.4
16x16=146.416 [Divide both sides by 16]
x=9.15 pounds
Hence, we can say that 9.15 pounds =146.4 ounces.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-20Added 2605 answers

Answer is given below (on video)

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