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Melissa's chocolate bar is 77% cocoa. If the weight of the chocolate bar is 92 grams, how many grams of
cocoa does it contain? Round your answer to the nearest tenth.

Sagot :

Answer:

70.8

Step-by-step explanation:

77% is the same as 0.77 so
92 * 0.77 = 77% of 92
92 * 0.77 = 70.84
rounded to the nearest tenth
70.8

You can use the weight of the chocolate bar given and find its 77% to get the weight of cocoa used in it.

The weight of cocoa in the given chocolate bar is 70.80 grams.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\frac{a}{100}[/tex] × [tex]b[/tex]

Since weight of cocoa = 77% percent of chocolate bar's weight which is 92 gram,

Thus,

[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{77}{100}[/tex] × [tex]92=68.08[/tex] [tex]grams[/tex]

Thus,

The weight of cocoa in the given chocolate bar is 70.80 grams.

Learn more about percentage here:

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