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Answer :
Final answer:
To find the combined weight of the three boxes, we can assign variables to their weights and solve a system of equations. The combined weight is 187 pounds.
Therefore, the correct answer is: option c) 187.
Explanation:
Let's assign variables to the weights of the boxes.
Let x be the weight of the first box, y be the weight of the second box, and z be the weight of the third box.
We are given the weights of the pairs of boxes:
122 = x + y, 125 = x + z, and 127 = y + z.
We can now solve these equations to find the values of x, y, and z. By adding the first two equations, we get 247 = 2x + y + z.
Subtracting the third equation from this, we get 120 = 2x. Therefore, x = 60.
Substituting this value into the first equation, we can solve for y:
122 = 60 + y, which gives y = 62.
Finally, substituting these values into the second equation, we can solve for z:
125 = 60 + z, which gives z = 65.
The combined weight of the three boxes is x + y + z
= 60 + 62 + 65
= 187 pounds.
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