Stephanie weighs 3 times as much as Rachel. Both weights are whole numbers and the sum of their weights is less than 160 pounds. Find the greatest possible weight for each girl.

Weight of Stephanie=3x

weight of Rachel=x

Therefore, we have this inequation:

x+3x<160

4x<160

x<160/4

x<40 so, the greastest possible weight for x (Rachel) is 39; x=39

weight of Stephanie=3x=3 (39) = 117.

The greatest possible weight for eache girl is:

Stephanie=117 pounds

Rachel=39 pounds.