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If 15% of a number is 45 and 50% of the same number is 150, find 35% of that number.v

User Sdfacre
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2 Answers

1 vote

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.

User Mike Hopkins
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8.3k points
5 votes

Answer:105

Step-by-step explanation:

let the number is x

Then 15% of x = 0.15x = 45 .

x= 45/0.15

x = 300

now 50 % of x = 0.5x =150

x = 150/0.5

x= 300 (crosscheck correct)

now 35% of 300 = 0.35 ×3000

= 105

User NaviRamyle
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7.8k points