Roger and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Roger is using an 18-kilogram bar, increasing the amount of weight he lifts by 2 kilograms on each set. His partner, meanwhile, started out using a 16-kilogram bar and is upping the weight by adding 4 kilograms on every set. Eventually, Roger and his workout partner will be lifting the same amount, and will take turns using the same barbell. How much weight will they be lifting then? How many sets will they have completed? Roger and his partner will both be lifting __ kilograms after __ sets.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.81TI: The weekly news magazine has a big story naming the Person of the Year and the editor wants the...
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Roger and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Roger is using an 18-kilogram bar, increasing the amount of weight he lifts by 2 kilograms on each set. His partner, meanwhile, started out using a 16-kilogram bar and is upping the weight by adding 4 kilograms on every set. Eventually, Roger and his workout partner will be lifting the same amount, and will take turns using the same barbell. How much weight will they be lifting then? How many sets will they have completed?

Roger and his partner will both be lifting __ kilograms after __ sets.

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