The equation 40 x + 20 y = 160 represents the number of sweaters, x , and number of shirts,

Question

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

Accepted Answer

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 $ 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 = 80 . Dividing both sides of this equation by 20 yields y = 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.

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