banana 2oz/in
rope 0.33 lb/ft = 0.44 oz/in
let: Ay = age of baby monkey
Am = age of mother monkey
known relationships:
W =M
|LR| = |Ay|
|M| = |Am|
Ay + Am = 30
(1/2)(M)+B = (1/4)(R + W)
solution:
Am = (1/2)(3)(1/2)(4)(2)(1/3)(3)(1/4)(Ay)
Am = (1.5)Ay > Ay = (2/3)Am
(2/3)Am + Am = 30
Am = 18 the age of the mother
Ay = 12 the age of the baby
then:
M = 18 oz the wt. of the monkey
LR = 12 ft. length of rope
(1/2)(18) + B = (1/4)(64 + 18)
B = 20.5 - 9 = 11.5 oz wt. of banana
LB = 11.5/2 = 5.75 inches long - length of banana