Question

If 30% of a number is 105, what is 40% of that number?

Answer 1

Answer:

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Step-by-step explanation:

There is a short way and long way

short way:

40–30 = 10. Then, divide 105 by 3 to get 10% of that number, which is 35. then add it to 105 to get 140, which is 40% of that number.

long way:

Proportions are key here, 30% equivalent to 30/100. Let’s call “that number”, x. This means that 105/x = 30/100. Cross multiply, (105 x 100) / 30, and we now know that x = 350. Now we set up another proportion, let’s call “40% of that number” y. Now, y/350 = 40/100. Cross multiply, (350x40) / 100, and we come to the conclusion that y = 140, meaning that 40% of 350 is 140.

Answer 2

40–30 = 10. Then, divide 105 by 3 to get 10% of that number, which is 35. then add it to 105 to get 140, which is 40% of that number.