A trash bin has a capacity of 50 gallons. What percentage of its capacity is each of the following? Show your reasoning.

5 gallons
30 gallons
45 gallons
100 gallons

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Answer:

Step-by-step explanation:

5 gallons  is 1/10 of 50 gallons; this is 10% of capacity.

30 gallons    30/50, or 60%

45 gallons     45/50, or 90%

100 gallons                    200%

The percentage is the ratio of a given value to the total value. The percentage of its capacity is each is 10%, 60%, 90%, and 200%.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A trash bin has a capacity of 50 gallons.

A.  The percentage for the 5 gallons will be

[tex]\rm Percentage = \dfrac{5}{50} * 100 = 10\%[/tex]

B.  The percentage for the 30 gallons will be

[tex]\rm Percentage = \dfrac{30}{50} * 100 = 60\%[/tex]

C.  The percentage for the 45 gallons will be

[tex]\rm Percentage = \dfrac{45}{50} * 100 = 90\%[/tex]

D.  The percentage for the 100 gallons will be

[tex]\rm Percentage = \dfrac{100}{50} * 100 = 200\%[/tex]

More about the percentage link is given below.

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