FIG. 1 is a perspective view of the bucket mounted tool carrier in opened condition showing the front, top and left side, with the bucket shown in phantom line;

FIG. 2 is a front elevational view of the bucket mounted tool carrier in closed condition;

FIG. 3 is a rear elevational view of the bucket mounted tool carrier in closed condition;

FIG. 4 is a left side elevational view of the bucket mounted tool carrier in closed condition;

FIG. 5 is a right side elevational view of the bucket mounted tool carrier in closed condition;

FIG. 6 is an enlarged top plan view of the bucket mounted tool carrier in closed condition; and

FIG. 7 is an enlarged bottom plan view of the bucket mounted tool carrier in closed condition.

The broken line showing of a bucket is for illustrative purposes only and forms no part of the claimed design.