The expression represent the total amount of price money is 3x-150.
The expressions let X be the amount of money for first place. This means X-50 would be the amount of second place because each subsequent place after 1st wins $50 less than the previous place. Thirds, would be X-50-50 or X-100.
That is X = first place and each place after that is 50 less so 2nd place would be x - 50 and third place would be x - 100.
Thus the total amount of money would be all of the values combined which is
x + (x - 50) + (x - 100)
Combinimg the like terms
To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term.
x+x-50+x-100
3x-150
3x - 150
Therefore the option b is correct.
So the expression represent the total amount of price money is 3x-150.
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