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Put together, Tom and his father away 280 pounds. Tom’s dad weighs three times as much as he does. How much does Tom weigh?

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2 Answers

6 votes

Final answer:

Tom weighs 70 pounds. We arrive at this by setting up equations based on the given information that Tom and his father together weigh 280 pounds, and Tom's dad weighs three times as much as Tom, and then solving for Tom's weight.

Step-by-step explanation:

Let's denote Tom's weight as T and his father's weight as F. According to the problem, Tom and his father weigh a combined total of 280 pounds, so T + F = 280. We're also told that Tom's dad weighs three times as much as Tom does, so F = 3T.

Now let's substitute the value of F from the second equation into the first equation:

  • T + 3T = 280
  • Combine like terms: 4T = 280
  • Divide both sides by 4 to solve for T: T = 280 / 4
  • T = 70

Therefore, Tom weighs 70 pounds.

User JLagana
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5.0k points
4 votes

Answer:

Tom weighs 70 pounds

Step-by-step explanation:

first, you have to set up your equation which would be, x + 3x = 280.

The x stands for Tom's weight and the 3x stands for three times Tom's weight for the dad. You would then add your like terms, then divide by 4 to get 70.

x + 3x = 280

4x = 280

280/4 = 70

x = 70

Hope this helps!

User Vaulstein
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5.4k points