Problema Solution

Together Kevin and Ken weigh 170 pounds. Kevin and kirk weigh a total of 155 pounds. Kirk and ken weigh a total of 175 pounds. How much does each person weigh?

Answer provided by our tutors

let


x = the weight of Kevin


y = the weight of Ken


z = the weight of Kirk


Together Kevin and Ken weigh 170 pounds:


x + y = 170


Kevin and kirk weigh a total of 155 pounds:


x + z = 155


Kirk and ken weigh a total of 175 pounds:


y + z = 175


by solving the system of equations:


x + y = 170


x + z = 155


y + z = 175


we find:


x = 75 lbs


y = 95 lbs


z = 80 lbs


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Kevin weighs 75 lbs.


Ken weighs 95 lbs.


Kirk weighs 80 lbs.