Question

seymour and his brother are lifting weights. seymour uses a 34 - pound barbell and adds 9 pounds for each set, including the first set. his brother uses a 36 - pound barbell and adds 7 pounds for each set, including the first set. eventually the brothers will lift the same amount of weight. this will occur during the set when they each lift pounds. which numbers make the statement true? click or tap the correct number from each drop - down menu.

Explanation:

Step1: Define variables for sets

Let $n$ = number of sets completed.

Step2: Write weight equations

Seymour's total weight: $34 + 9n$
Brother's total weight: $36 + 7n$

Step3: Set weights equal, solve for $n$

$$34 + 9n = 36 + 7n$$
$$9n - 7n = 36 - 34$$
$$2n = 2$$
$$n = 1$$

Step4: Calculate total weight at $n=1$

Seymour's weight: $34 + 9(1) = 43$
Brother's weight: $36 + 7(1) = 43$

Answer:

Eventually the brothers will lift the same amount of weight. This will occur during the 1 set when they each lift 43 pounds.