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2/5 of a number is 80. What is 3/4 of the same number

1 Answer

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Final answer:

Firstly, the full value of the number was found by dividing 80 by 2/5, resulting in 200. Then, 3/4 of this number was calculated to be 150.

Step-by-step explanation:

To solve this problem, let us first determine the full value of the number when 2/5 of it is 80. We can write a simple equation for this:

(2/5) × number = 80

Now, solve for the 'number' by multiplying both sides by the reciprocal of 2/5, which is 5/2.

number = 80 × (5/2)

number = 200

Now that we have the full value of the number, let's find 3/4 of this number.

(3/4) × 200 = 150

So, 3/4 of the same number is 150.

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