A red, green, and pink backpack are hanging on hooks on the classroom. The total weight of the 3 backpacks is 32 pounds. The red one weights 93/4 pounds. The green one weights 1/3 over 4 more. How much weights the pink one?

We let x be the weight of the red bag, y for the green bag and z for the pink bag. It was given that the total mass of the 3 bags is 32 pounds. Thus,

x + y + z = 32

It was given that the red bag or x weighs 93/4 pounds and the green bag or y weighs 1/12 of the red bag. Substituting the values given, we have:

(93/4) + (1/12) (93/4) + z = 32

z = 6.8125 lbs

Thus, the pink backpack weighs 6.8125 pounds.