If 12 is 15% of a number, what is 35% of that same number?

To determine why 28 is the correct answer, let's start by establishing the relationship between the given values and the unknown number.

The statement "12 is 15% of a number" can be expressed mathematically. Let’s denote the unknown number as ( x ). The relationship can be written as:

[

0.15x = 12

]

To find ( x ), you solve for ( x ) by dividing both sides by 0.15:

[

x = \frac{12}{0.15}

]

Calculating this gives:

[

x = 80

]

Now that we know the value of ( x ), we can find 35% of this number. This can be calculated by taking 35% of 80:

[

0.35 \times 80 = 28

]

Therefore, 35% of the same number, which is 80, is indeed 28. This confirms that if 12 is 15% of a number, 35% of that same number is 28.