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Algebra / Linear equations in two variables Difficulty: Easy

The equation $x + y = 1,440$ represents the number of minutes of daylight (between sunrise and sunset), $x$ , and the number of minutes of non-daylight, $y$ , on a particular day in Oak Park, Illinois. If this day has $670$ minutes of daylight, how many minutes of non-daylight does it have?

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Explanation

Choice B is correct. It’s given that the equation $x + y = 1,440$ represents the number of minutes of daylight, $x$ , and the number of minutes of non-daylight, $y$ , on a particular day in Oak Park, Illinois. It’s also given that this day has $670$ minutes of daylight. Substituting $670$ for $x$ in the equation $x + y = 1,440$ yields $670 + y = 1,440$ . Subtracting $670$ from both sides of this equation yields $y equals 770$ . Therefore, this day has $770$ minutes of non-daylight.

Choice A is incorrect. This is the number of minutes of daylight, not non-daylight, on this day.

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

Choice D is incorrect. This is the total number of minutes of daylight and non-daylight.