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Owusu and Yaw were to share 65 oranges so that Owusu has 7 oranges less than Yaw. What would be Yaw's share?

Mathematics

ScanSolve AI Answer

Answer

36 oranges\text{36 oranges}

Step-by-step solution

3 steps

Let O be Owusu's share and Y be Yaw's share.

  1. Set up the equations based on the problem statement.

    The total number of oranges is 65:

    O+Y=65(1)O + Y = 65 \quad (1)

    Owusu has 7 oranges less than Yaw:

    O=Y−7(2)O = Y - 7 \quad (2)
  2. Substitute equation (2) into equation (1).

    Substitute O=Y−7O = Y - 7 into O+Y=65O + Y = 65:

    (Y−7)+Y=65(Y - 7) + Y = 65
  3. Simplify and solve for Y.

    2Y−7=652Y - 7 = 65

    Add 7 to both sides:

    2Y=65+72Y = 65 + 7 2Y=722Y = 72

    Divide by 2:

    Y=722Y = \frac{72}{2} Y=36Y = 36

    Yaw's share is 36 oranges.

    The correct option is 36 oranges.

    The final answer is 36 oranges\text{36 oranges}.

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