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Bob weighs 25 pounds less than Gary does. Together they weigh 397 pounds. How much does each man weigh?

A. Gary: 211 lbs, Bob: 186 lbs
B. Gary: 186 lbs, Bob: 211 lbs
C. Gary: 196 lbs, Bob: 171 lbs
D. Gary: 171 lbs, Bob: 196 lbs

Answer :

Final answer:

By setting up and solving a system of two linear equations, we determine that Gary weighs 211 pounds and Bob weighs 186 pounds, which corresponds to option a).

Explanation:

Let's denote Gary's weight as G and Bob's weight as B. According to the first statement, Bob weighs 25 pounds less than Gary, which gives us the equation B = G - 25. The second statement indicates that together they weigh 397 pounds, leading to another equation G + B = 397.

We can substitute the first equation into the second to solve for Gary's weight:

G + (G - 25) = 397

2G - 25 = 397

2G = 397 + 25

2G = 422

G = 211

Now that we know Gary's weight, we can find Bob's weight:

B = G - 25

B = 211 - 25

B = 186

Therefore, Gary weighs 211 pounds and Bob weighs 186 pounds, which corresponds to option a).

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