A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii?

Correct answer:

a =  1
b =  9
c =  90

Step-by-step explanation:

100=10a+5b+c/2 a+b+c=100  200=20a+10b+c 200=20a+10b+(100ab) 100=19a+9b  a=1
c=100ab=10019=90   Verifying Solution:  p1=10 a+5 b+c/2=10 1+5 9+90/2=100 p2=a+b+c=1+9+90=100

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