The equation 40x + 20y = 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?

Correct Answer : 2

Choice 2 is correct. It's given that the equation 40x + 20y = 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 in the given equation, which yields 40(2) + 20y = 160, or 80 + 20y = 160. Subtracting 80 from both sides of this equation yields 20y = 80. Dividing both sides of this equation by 20 yields y = 4. Therefore, if Yesenia purchased 2 sweaters, she purchased 4 shirts.

Choice 1 is incorrect and may result from conceptual or calculation errors.

Choice 3 is incorrect. This is the number of shirts Yesenia purchased if she purchased 0 sweaters.

Choice 4 is incorrect. This is the price, in dollars, for each sweater, not the number of shirts Yesenia purchased.