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Algebra / Linear equations in two variables Difficulty: Easy

$x + y = 350$

The given equation relates the total number of maple trees, $x$ , and the total number of birch trees, $y$ , planted in a $14$ -acre forest preserve. If $245$ maple trees were planted in the forest preserve, how many birch trees were planted in the forest preserve?

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Explanation

Choice C is correct. It’s given that the equation $x + y = 350$ relates the total number of maple trees, $x$ , and the total number of birch trees, $y$ , planted in a $14$ -acre forest preserve. It’s also given that $245$ maple trees were planted in the forest preserve. Substituting $245$ for $x$ in the given equation yields $245 + y = 350$ . Subtracting $245$ from both sides of this equation yields $y equals 105$ . Therefore, $105$ birch trees were planted in the forest preserve.

Choice A is incorrect. This is the number of acres in the forest preserve, not the number of birch trees planted in the forest preserve.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the number of maple trees planted in the forest preserve, not the number of birch trees planted in the forest preserve.