Decreasing 3/4 times a number by 18 is equal to

increasing 1/5 times the number by 5.

460/11, rounded to 41.8

Step-by-step explanation:

Let's say that our number is x. The first part states that we decrease 3/4 of a number by 18. Therefore, we find (3/4) of x and subtract that by 18, or (3/4) x-18. That is then equal to increasing (1/5) of x by 5, or (1/5) x+5. Our equation is then (3/4) x-18 = (1/5) x + 5.

Adding 18 to both sides, we get (3/4) x = (1/5) x + 23.

Multiplying both sides by 5 and 4 (or 20 as a whole) to remove the denominators, we get that 15x=4x + 460. Subtracting both sides by 4x, we get that 11x=460, and dividing both sides by 11, our answer is rounded to 41.8 (or just 460/11)

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