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Algebra / Linear equations in two variables Difficulty: Hard

Keenan made $32$ cups of vegetable broth. Keenan then filled $x$ small jars and $y$ large jars with all the vegetable broth he made. The equation $3 x + 5 y = 32$ represents this situation. Which is the best interpretation of $5 y$ in this context?

The number of large jars Keenan filled

The number of small jars Keenan filled

The total number of cups of vegetable broth in the large jars

The total number of cups of vegetable broth in the small jars

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Explanation

Choice C is correct. It’s given that the equation $3 x + 5 y = 32$ represents the situation where Keenan filled $x$ small jars and $y$ large jars with all the vegetable broth he made, which was $32$ cups. Therefore, $3 x$ represents the total number of cups of vegetable broth in the small jars and $5 y$ represents the total number of cups of vegetable broth in the large jars.

Choice A is incorrect. The number of large jars Keenan filled is represented by $y$ , not $5 y$ .

Choice B is incorrect. The number of small jars Keenan filled is represented by $x$ , not $5 y$ .

Choice D is incorrect. The total number of cups of vegetable broth in the small jars is represented by $3 x$ , not $5 y$ .