Middle School

Sam and Hector are gaining weight for football season. Sam weighs 205 pounds and is gaining two pounds per week. Hector weighs 195 pounds but is gaining three pounds per week. In how many weeks will they both weigh the same amount?​

Answer :

Answer:

10 weeks

Step-by-step explanation:

205+2t=195+3t

-2t -2t

205=195+t

-195 -195

10=t

Final answer:

The weight of Sam and Hector will be the same after 10 weeks.

Explanation:

Average weight gain:

  • Sam: 205 + 2w
  • Hector: 195 + 3w

Setting both equations equal:

  • 205 + 2w = 195 + 3w
  • 10 = w

They will weigh the same after 10 weeks.

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