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The positive number a is 2,352% of the sum of the positive numbers b and c, and b is 84% of c. What percent of b is a?

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Answer: We can start by using the information given to set up an equation. We know that:

a = 2,352% of (b + c)

b = 84% of c

We can express the first equation in terms of percentages by dividing both sides by 100:

a = 23.52(b + c)

We can also express the second equation in terms of percentages by dividing both sides by 100:

b = 0.84c

Now we can substitute the second equation into the first equation:

a = 23.52(0.84c + c)

a = 23.52(1.84c)

So a = 43.1184c

To find the percentage of b, we divide b by a and multiply by 100:

percentage of b = (b / a) * 100

Now we substitute values of a and b

percentage of b = (0.84c / 43.1184c) * 100

percentage of b = (0.84 / 43.1184) * 100

Which simplify to

percentage of b = 1.9425 %

Explanation:

User Michael Draper
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