January 17, 2016

338 Cows and Goats Puzzle


There are 338 cows and goats in a farm. 2/3 of the cows are equal to 1/5 of the goats in the farm.
How many cows are there in the farm?

4 comments:

  1. kuny :
    sumple algebra :
    X + Y = 338
    2*X /3 = Y / 5
    hence :
    X = COWS = 78
    Y = GOATS = 260

    ReplyDelete
  2. # Cows = C
    # Goats = G

    C+G = 338
    (2/3)*C = (1/5)*G

    From the 2nd equation,
    (10/3)*C = G

    Substituting that into the first,
    C + (10/3)*C = 338
    (13/3)*C = 338
    C = 78
    G = 338 - 78 = 260

    This satisfies both of the conditions.

    ReplyDelete