Question

How many drams of fat is there in 5-oz bag.

Ratios, rates, proportions
ANSWERED
asked 2021-08-06
How many drams of fat is there in \(\displaystyle{5}-{o}{z}\) bag.

Answers (1)

2021-08-07

An equation that equates two rates or ratios is called proportions.
\(\displaystyle{\frac{{{a}}}{{{b}}}}={\frac{{{c}}}{{{d}}}}\)
Where \(\displaystyle{\left({b}\ne{q}{0},\ {d}\ne{q}{0}\right)}\)
To solve the proportions multiply both sides of the equation by LCD.
Calculation:
A bag of popcorn constains 4 gram of fat per serving if a serving is \(\displaystyle{2}-{o}{z}\)
Let x be the number of grams of fat in \(\displaystyle{5}-{o}{z}\)
Consider the provided proportion will be as:
\(\displaystyle{\frac{{{4}{g}}}{{{2}{o}{z}}}}={\frac{{{x}{g}}}{{{5}{o}{z}}}}\)
An equation that equates two rates or ratios is called proportions.
\(\displaystyle{\frac{{{a}}}{{{b}}}}={\frac{{{c}}}{{{d}}}}\)
Where \(\displaystyle{\left({b}\ne{q}_{0}\right)},\ {d}\ne{q}_{0}{)}\)
To solve the proportions, multiply both sides of the equation by LDC.
Hence the LCD of the provided proportion is \(\displaystyle{10}{o}{z}\)
Hence, multiply both sides of the equation by \(\displaystyle{10}{o}{z}\) as:
\(\displaystyle{\left({10}\right)}{\frac{{{4}{g}}}{{{2}{o}{z}}}}={\frac{{{x}}}{{{5}{o}{z}}}}{\left({10}\right)}\)
Further simplify as:
\(\displaystyle{\left({10}\right)}{\frac{{{4}{g}}}{{{2}{o}{z}}}}={\frac{{{x}{g}}}{{{5}{o}{z}}}}{\left({10}\right)}\)
\(\displaystyle{5}{\left({4}\right)}={2}{x}\)
\(\displaystyle{20}={2}{x}\)
Now divide both sides of the equation by 2 as:
\(\displaystyle{20}={2}{x}\)
\(\displaystyle{\frac{{{20}}}{{{2}}}}={\frac{{{2}{x}}}{{{2}}}}\)
\(\displaystyle{x}={10}\)
Hence, the amount of fat in \(\displaystyle{5}-{o}{z}\) bag is 10 gram.

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