Problema Solution
Gavin and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Gavin is using a 14-kilogram bar, increasing the amount of weight he lifts by 6 kilograms on each set. His partner, meanwhile, started out using a 17-kilogram bar and is upping the weight by adding 3 kilograms on every set. Eventually, Gavin and his workout partner will be lifting the same amount, and will take turns using the same barbell. How many sets will they have completed? How much weight will they be lifting then?
Answer provided by our tutors
let x = the number of sets needed to reach the same amount of weight
14 + 6x = 17 + 3x
by solving we find:
x = 1 set
click here to see the step by step solution of the equation:
they will complete 1 set and reach the same weight.
there will be 14 + 6*1 = 17 + 3*1 = 20 kg weight for lifting.