A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?
Answer
A
12 is greater than or equal to x plus y
B
12 is greater than or equal to 2 x plus 3 y
C
12 is less than or equal to x plus y
D
12 is less than or equal to 2 x plus 3 y
Explanation
Each cheese square gives 2 grams of protein, so x squares provide 2x grams. Each turkey slice gives 3 grams, so y slices provide 3y grams; together they provide 2x + 3y grams. Since Nina wants 12 or more grams, the total must be at least 12: 12 ≤ 2x + 3y, which is choice D.
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