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Algebra / Linear equations in two variables Difficulty: Easy

The equation $40 x + 20 y = 160$ represents the number of sweaters, $x$ , and number of shirts, $y$ , that Yesenia purchased for $dollar sign 160$ . If Yesenia purchased $2$ sweaters, how many shirts did she purchase?

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Explanation

Choice B is correct. It's given that the equation $40 x + 20 y = 160$ represents the number of sweaters, $x$ , and the number of shirts, $y$ , that Yesenia purchased for $dollar sign 160$ . If Yesenia purchased $2$ sweaters, the number of shirts she purchased can be calculated by substituting $2$ for $x$ in the given equation, which yields $40 (2) + 20 y = 160$ , or $80 + 20 y = 160$ . Subtracting $80$ from both sides of this equation yields $20 y equals 80$ . Dividing both sides of this equation by $20$ yields $y equals 4$ . Therefore, if Yesenia purchased $2$ sweaters, she purchased $4$ shirts.

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

Choice C is incorrect. This is the number of shirts Yesenia purchased if she purchased $0$ sweaters.

Choice D is incorrect. This is the price, in dollars, for each sweater, not the number of shirts Yesenia purchased.