Question #190580

once upon a time miss abc invited 50 enemies to dinner. solve this question


1
Expert's answer
2021-05-18T14:08:29-0400

Miss ABC can use 0.5 pounds of poison maximum.

Let the mass of X be xx pounds, then mass of Y is y=0.5xy=0.5-x pounds.

The price should be minimised, and the effect should be 50 people killing.


75x+200(0.5x)=5075x+200(0.5-x)=50

75x+100200x=5075x+100-200x=50

125x=50125x=50

x=50125x=\dfrac{50}{125}

x=0.4x=0.4

Then


y=0.50.4=0.1y=0.5-0.4=0.1

The total price will be 


0.4(100)+0.1(400)=80(gold pieces)0.4(100)+0.1(400)=80(gold\ pieces)

0.4 pounds X, 0.1 pounds Y, 80 gold pieces.



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