Perfect Lava Mixture

lava mixture puzzle
Bowser is making the perfect lava mixture to conquer the castle and capture princess Peach. He has a 36 gallon cauldron filled with lava that is 65% fire flower and 35% poisonous mushroom extract. He wants his lava mixture to be 38% poison mushroom extract. So, he is going to add "x" gallons of pure poisonous mushroom extract to his mixture.

How many gallons of the lava mixture will he have once he achieves the perfect concentration?

Answer:

12 comments:

  1. I think it's 37.08 gallons. ;))

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  3. 36 gallon, that's all the caldron will hold

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  4. 36. its a 36 gallon cauldron

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  5. He would need 1.08 gallons to make the right concentration which would make a total of 37.08 gallons

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  6. 37.74194
    36+X=(36x35/100 + X)+ (62(36+X)/100)
    X=1.74194
    36+X=37.74194

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  7. or ,
    35/100x 36 + X= 38/100x (36+X)
    62X=(38-35)x 36
    X=108/62
    X=1.74194

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