# 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?

Time $t = 10 \text{ }$weeks

#### Explanation:

Let t be the number of weeks

The working equation is

$205 + 2 t = 195 + 3 t$

Solving for $t$

$t = 10$ weeks

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