High School

Translate and solve using proportions: What number is 175% of 56?

A. 98
B. 98.5
C. 97
D. 97.5

Answer :

Final answer:

To find what number is 175% of 56, we express the 175% as a proportion or decimal (1.75), then multiply this by 56. The result is 98, so the answer is option A. 98.

Explanation:

To find what number is 175% of 56 we use proportions. First, we should understand that percentages are a way of expressing a fraction, a ratio, or a proportion with a denominator of 100. Therefore, 175% can be expressed as 175/100 or 1.75 in decimal form.

To set up and solve the problem, we use the proportion like this:

1.75/1 = x/56

When we solve this proportion for 'x', it means we are finding the value that is 175% of 56. We can do this by multiplying both sides of the equation by 56:

1.75 * 56 = x

Finally, when you multiply 1.75 by 56, you get 98. Therefore, 175% of 56 is 98. So, the correct answer is option A. 98.

Learn more about Percentages here:

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