Question keenan

1.3 Linear Equations in Two Variables - Writing equations from data/points
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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 3x+5y=32 represents this situation. Which is the best interpretation of 5 y in this context?

A.

The number of large jars Keenan filled

B.

The number of small jars Keenan filled

C.

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

D.

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

Keenan made 32 cups of vegetable broth. Keenan then filled x small jars and y large

Hard-difficulty · SAT Math · Linear Equations in Two Variables — Writing equations from data/points. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer 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