Respuesta :
Answer:
The chocolate bar contains 29.2 grams of cocoa.
Step-by-step explanation:
Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.
Hence, the amount of cocoa in the chocolate bar is given by
54% of 54 grams
54% percentage means 54/100 = 0.54
Hence, the amount of cocoa in the chocolate bar is
[tex]0.54\times54\\=29.16[/tex]
When rounded to the nearest tenth, 29.16 should be equal to 29.2
Hence, the chocolate bar contains 29.2 grams of cocoa.
You can use the weight of the chocolate bar given and find its 54% to get the weight of cocoa used in it.
The weight of cocoa in the given chocolate bar is 29.16 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]\dfrac{a}{100} \times b[/tex]
Since weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram,
Thus,
[tex]\text{weight of cocoa} = \dfrac{54}{100} \times 54 = 29.16 \: \rm grams[/tex]
Thus,
The weight of cocoa in the given chocolate bar is 29.16 grams.
Learn more about percentage here:
https://brainly.com/question/11549320