The total mass of David, James and Luke is 150 kg. David has a mass of 55.55kg. James has a mass of 3.24kg less than David. What is the mass of the Luke?

Answer 1

Let the mass of James be J kg and Luke be L kg.

We are given that the total mass of David, James, and Luke is 150 kg, so we can write the equation:

David's mass + James's mass + Luke's mass = 150 kg
55.55 kg + J + L = 150 kg

We are also given that James has a mass of 3.24 kg less than David, so we can write the equation:

James's mass = David's mass - 3.24 kg
J = 55.55 kg - 3.24 kg

Substituting this value of J into the first equation, we get:

55.55 kg - 3.24 kg + L = 150 kg
52.31 kg + L = 150 kg

Subtracting 52.31 kg from both sides, we get:

L = 150 kg - 52.31 kg
L = 97.69 kg

Therefore, the mass of Luke is 97.69 kg.