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Algebra / Linear equations in two variables Difficulty: Medium

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

The number of large containers Lily filled

The number of small containers Lily filled

The total number of cups of jam in the large containers

The total number of cups of jam in the small containers

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Explanation

Choice C is correct. It’s given that the equation $4 x + 6 y = 36$ $4 x + 6 y = 36$ represents the situation where Lily filled $x$ $x$ small containers and $y$ $y$ large containers with all the jam she made, which was $36$ $36$ cups. Therefore, $6 y$ $6 y$ 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 $y$ $y$ , not $6 y$ $6 y$ .

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

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