What is the smallest possible integer for which 15% of that integer is greater than 2.3?a)3b)12c)15d)16e)18Correct answer is option 'D'. Can you explain this answer?

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ACT Exam > ACT Questions > What is the smallest possible integer for whi...

What is the smallest possible integer for which 15% of that integer is greater than 2.3?

a)
3
b)
12
c)
15
d)
16
e)
18

Correct answer is option 'D'. Can you explain this answer?

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What is the smallest possible integer for which 15% of that integer is...

Smallest Integer Calculation
To find the smallest possible integer for which 15% of that integer is greater than 2.3, we need to set up an inequality.

Let x be the integer:
0.15x > 2.3

Solve for x:
x > 2.3 / 0.15
x > 15.33

Smallest Integer:
The smallest integer greater than 15.33 is 16.
Therefore, the smallest possible integer for which 15% of that integer is greater than 2.3 is 16, which corresponds to option D.

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What is the smallest possible integer for which 15% of that integer is...

The correct answer is d. To solve this problem, make x the smallest possible integer for which 15% of x is greater than 2.3. Then, set up the following inequality: 0.15x > 2.3. Divide both sides by 0.15 to get x > 15.333, repeating. The smallest integer greater than the repeating decimal 15.333 is 16.

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