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Algebra / Linear equations in two variables Difficulty: Medium

Lily made 36 cups of jam. Lily then filled x small containers and y large containers with all the jam she made. The equation 4 x + 6 y = 36 represents this situation. Which is the best interpretation of 6 y in this context?

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Explanation

Choice C is correct. It’s given that the equation 4x+6y=36 represents the situation where Lily filled x small containers and y large containers with all the jam she made, which was 36 cups. Therefore, 6y represents the total number of cups of jam in the large containers.

Choice A is incorrect. The number of large containers Lily filled is represented by y, not 6y.

Choice B is incorrect. The number of small containers Lily filled is represented by x, not 6y.

Choice D is incorrect. The total number of cups of jam in the small containers is represented by 4x, not 6y.