Answer :

Answer:

The amount of cholesterol in 11 ounces of lobster is 220 mg

Step-by-step explanation:

The amount of cholesterol in 11 ounces of lobster can be calculated as follows

The first step is to convert all units of measure from ounce to mg

1 gram = 0.0352 ounce

Divide both sides by 0.0352 to get the value of 1 ounce

[tex]\frac{1}{0.0352}[/tex] gram = [tex]\frac{0.0352}{0.0352}[/tex] ounce

28.35 gram = 1 ounce

Since 1 gram equals 1000 milligrams, then multiply the left side by 1000 and change the unit of measure to milligram

28.35 [tex]\times[/tex] 1000 mg = 1 ounce

28350 mg = 1 ounce

Convert 3.6 ounces to milligrams

3.6 ounces = 3.6 [tex]\times[/tex] 28350 mg

3.6 ounces = 102060 mg

Convert 11 ounces to milligrams

11 ounces = 11 [tex]\times[/tex] 28350 mg

11 ounces = 311850 mg

Since there are 72 mg of cholesterol in a 3.6 ounces serving of lobster, then the ratio equation to follow is

[tex]\frac{72}{102060}=\frac{x}{311850}[/tex]

Where x is the amount of cholesterol in 11 ounces of lobster

Multiply both sides by 311850 to isolate x

[tex]\frac{72}{102060}\times 311850=\frac{x}{311850}\times 311850[/tex]

[tex]\frac{22453200}{102060} =x[/tex]

Simplify the left side of the equation

220 = x

Since the value of x is 220, then the amount of cholesterol in  11 ounces of lobster is 220 mg

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