A mountain hiker is carrying a backpack, as he travels in the hills to climb new peaks. In his bag, he has the complete mountaineering kit and hit stuff. His kit is three kilograms and half a kit heavy. Along with that, his essential utilities are four kilograms minus one-fourth the weight of his kit. His food supplies account for two-fifth the weight of his kit and essential utilities. To add to that, his repair kit (consisting of various things to repair his mountaineering kit) is half a kg and one-fourth his repair kit heavy. His bag is barely one-fourth the weight of his repair kit. Calculate the total weight on his shoulders.

Let the weight of the Kit be= K Now it is given that: K = 3 + K/2 Therefore, K= 6 Kg

Let the weight of essential utilities= U Now it is given that: U = 4 – K/4 U = 4 – 1.5 U = 2.5 Kg

Let the weight of his food supplies= F Now it is given that: F = 2/5 (K+U) F = 2/5 (8.5) F = 3.4 Kg

Let the weight of his repair kit= R Now it is given that: R = 0.5 + R/4 R = .67 Kg

Let the weight of his bag = B Now it is given that: B = ¼ R B = .167 Kg

Therefore the total weight on his shoulders is= K+U+F+R+B = 12.73 Kg