The word problem that has the solution of |−25|=25 is:
"In a certain card game, each player tries to gain points while causing the other players to lose points. On her turn, Lorice gained 25 points but lost 15 points. How many points did Lorice gain?"
In this scenario, the calculation of the net points Lorice earned involves finding the absolute value of the points lost to determine the effect on her total score. Her gain of 25 points and the loss of 15 points show that she had a net gain of 10 points, but if considering only the magnitude of the loss, which is |−15|, it relates to the absolute value concept. However, the key aspect relating to 25 is the gain of points, making this the correct word problem with respect to the solution provided.
For clarity, if we were to think in terms of magnitude, the absolute value part could be interpreted as ensuring we consider losses when evaluating overall gameplay. However, since none of the other problems use absolute values or relate directly to the absolute magnitude in this way, this entry is likely the closest fit.