Question

Isaac and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Isaac is using a 5-kilogram bar, increasing the amount of weight he lifts by 5 kilograms on each set. His partner, meanwhile, started out using a 7-kilogram bar and is upping the weight by adding 3 kilograms on every set. Eventually, Isaac 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?

Answer 1

The weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.

What is an unknown variable?

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.

Isaac and his workout partner are lifting weights together, doing many sets of each exercise.

Isaac is using 5-kg bar, and increasing the amount of weight he lifts by 5 kg on each set. The weight he lifts after x set is,

5+5x

His partner, started out using a 7-kg bar and is upping the weight by adding 3 kg on every set. The weight his partner lift after x set is,

7+3x

Let after x sets, the weight lifted by both will be same. Thus,

$5+5x=7+3x\\5x-3x=7-5\\2x=2\\x=\dfrac{2}{2}\\x=1$

Thus, the weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.

Learn more about the unknown variable here;

brainly.com/question/1235185

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