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HELPPPPPPPPP MEEEEEEEEE! DUE IN 30 MIN!!! I REALLY NEED HELP WITH THIS PROBLEM!!!
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind-reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind-reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Respuesta :

Answer:

56 underwater breathing potions.

Step-by-step explanation:

Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)

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