At a pancake breakfast, children are served 2 pancakes and adults are served 5 pancakes. Together, they can be served at most 111 pancakes, the total number made by the chef. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of children y = the number of adults Choices: (A)2x + 5y ≥ 111 (B)2x + 5y > 111 (C)2x + 5y ≤ 111 (D)2x + 5y < 111

Define Variables: Define the variables based on the given information. Number of children: x Number of adults: y Children are served 2 pancakes each, and adults are served 5 pancakes each.Determine Total Pancakes: Determine the total number of pancakes served. Total pancakes served to children: 2 pancakes per child × x children = 2x Total pancakes served to adults: 5 pancakes per adult × y adults = 5y Total pancakes served: 2x + 5yForm Inequality: Use the given constraint to form the inequality. The chef made at most 111 pancakes, so the total number of pancakes served cannot exceed 111. This means the total pancakes served to both children and adults must be less than or equal to 111. Inequality: 2x + 5y ≤ 111

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At a pancake breakfast, children are served $2$ pancakes and adults are served $5$ pancakes. Together, they can be served at most $111$ pancakes, the total number made by the chef. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of children $\newline$ $y =$ the number of adults $\newline$ Choices: $\newline$ (A) $2x + 5y \geq 111$ $\newline$ (B) 2x + 5y > 111 $\newline$ (C) $2x + 5y \leq 111$ $\newline$ (D) 2x + 5y < 111

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Algebra 2

Write a linear inequality: word problems

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Q. At a pancake breakfast, children are served

2

pancakes and adults are served

5

pancakes. Together, they can be served at most

111

pancakes, the total number made by the chef.

\newline

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

\newline

x =

the number of children

\newline

y =

the number of adults

\newline

Choices:

\newline

(A)

2x + 5y \geq 111

\newline

(B)

2x + 5y > 111

\newline

(C)

2x + 5y \leq 111

\newline

(D)

2x + 5y < 111

Define Variables: Define the variables based on the given information. $\newline$ Number of children: $x$ $\newline$ Number of adults: $y$ $\newline$ Children are served $2$ pancakes each, and adults are served $5$ pancakes each.
Determine Total Pancakes: Determine the total number of pancakes served. $\newline$ Total pancakes served to children: $2$ pancakes per child $\times x$ children = $2x$ $\newline$ Total pancakes served to adults: $5$ pancakes per adult $\times y$ adults = $5y$ $\newline$ Total pancakes served: $2x + 5y$
Form Inequality: Use the given constraint to form the inequality. $\newline$ The chef made at most $111$ pancakes, so the total number of pancakes served cannot exceed $111$ . $\newline$ This means the total pancakes served to both children and adults must be less than or equal to $111$ . $\newline$ Inequality: $2x + 5y \leq 111$