Final answer:
15% of a number is 45, so by dividing 45 by 0.15, we find the number to be 300. To calculate 35% of this number, we multiply 300 by 0.35 to get 105.
Step-by-step explanation:
If 15% of a number is 45, we can set up the equation 0.15x = 45, where x is the number we're trying to find. To solve for x, we can divide both sides of the equation by 0.15, giving us x = 45 / 0.15, which is x = 300. We now know that 50% of this number is indeed 150 because 0.50 × 300 = 150, confirming that our calculation is correct.
To find 35% of the same number, we'll use the percentage in decimal form, which is 0.35. Now we will multiply 0.35 by our number x (300) to get 0.35 × 300 = 105. Therefore, 35% of the number is 105.