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Gabrielle is baking desserts for a potluck. At least $38$ servings of dessert will be required. For every batch of brownies she bakes, she will get $13$ servings, and every pie will yield $10$ servings. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of batches of brownies $\newline$ $y =$ the number of pies $\newline$ Choices: $\newline$ (A) $13x + 10y \geq 38$ $\newline$ (B) $13x + 10y \leq 38$ $\newline$ (C) $10x + 13y \leq 38$ $\newline$ (D) $10x + 13y \geq 38$

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Write a linear inequality: word problems

Full solution

Q. Gabrielle is baking desserts for a potluck. At least

38

servings of dessert will be required. For every batch of brownies she bakes, she will get

13

servings, and every pie will yield

10

servings.

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of batches of brownies

\newline

y =

the number of pies

\newline

Choices:

\newline

(A)

13x + 10y \geq 38

\newline

(B)

13x + 10y \leq 38

\newline

(C)

10x + 13y \leq 38

\newline

(D)

10x + 13y \geq 38

Calculate Brownies Servings: Brownies per batch give $13$ servings, so for $x$ batches, it's $13x$ servings.
Calculate Pies Servings: Pies give $10$ servings each, so for $y$ pies, it's $10y$ servings.
Determine Total Servings Needed: Total servings needed is at least $38$ , so the total servings from brownies and pies should be greater than or equal to $38$ .
Formulate Inequality: The inequality that represents this situation is $13x + 10y \geq 38$ .

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