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There are four animals: Cow, Sheep, Goat, Camel. Their total number is 240. The number of goats and camels is 500. The number of camels and sheep difference is 455. The number of cows and goats is 215

Mathematics

ScanSolve AI Answer

Answer

480

Step-by-step solution

6 steps
  1. Write down the given equations using variables.

    Let C = Cow, S = Sheep, G = Goat, M = Camel.
    The given equations are:

    1. C+S=240C + S = 240
    2. G+M=500G + M = 500
    3. M−S+G=455M - S + G = 455
    4. C+G=215C + G = 215
  2. Use equation (2) to express G in terms of M.

    From equation (2):

    G=500−MG = 500 - M
  3. Substitute the expression for G into equation (3) to find S.

    Substitute G=500−MG = 500 - M into equation (3):

    M−S+(500−M)=455M - S + (500 - M) = 455 500−S=455500 - S = 455 S=500−455S = 500 - 455 S=45S = 45
  4. Substitute the value of S into equation (1) to find C.

    Substitute S=45S = 45 into equation (1):

    C+45=240C + 45 = 240 C=240−45C = 240 - 45 C=195C = 195
  5. Substitute the value of C into equation (4) to find G.

    Substitute C=195C = 195 into equation (4):

    195+G=215195 + G = 215 G=215−195G = 215 - 195 G=20G = 20
  6. Substitute the value of G into equation (2) to find M (Camel).

    Substitute G=20G = 20 into equation (2):

    20+M=50020 + M = 500 M=500−20M = 500 - 20 M=480M = 480

    The value of the camel is 480.

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