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At an arts festival, a camp counselor bought food tickets for her hungry campers. The campers can use them to get hot dogs, which cost $5$ tickets apiece, and burgers, which cost $4$ tickets apiece. In total, the campers can use up to $40$ tickets, which is how many the counselor bought. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of hot dogs $\newline$ $y =$ the number of burgers $\newline$ Choices: $\newline$ (A) $5x + 4y \geq 40$ $\newline$ (B) $4x + 5y \geq 40$ $\newline$ (C) $5x + 4y \leq 40$ $\newline$ (D) $4x + 5y \leq 40$

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Write a linear inequality: word problems

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Q. At an arts festival, a camp counselor bought food tickets for her hungry campers. The campers can use them to get hot dogs, which cost

5

tickets apiece, and burgers, which cost

4

tickets apiece. In total, the campers can use up to

40

tickets, which is how many the counselor bought.

\newline

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

\newline

x =

the number of hot dogs

\newline

y =

the number of burgers

\newline

Choices:

\newline

(A)

5x + 4y \geq 40

\newline

(B)

4x + 5y \geq 40

\newline

(C)

5x + 4y \leq 40

\newline

(D)

4x + 5y \leq 40

Hot Dog Tickets Cost: Hot dog tickets cost: $5$ tickets each $\newline$ Number of hot dogs: $x$ $\newline$ Total tickets for hot dogs: $5x$
Burger Tickets Cost: Burger tickets cost: $4$ tickets each $\newline$ Number of burgers: $y$ $\newline$ Total tickets for burgers: $4y$
Total Tickets Available: Total tickets available: $40$ $\newline$ Total tickets used: $5x$ for hot dogs + $4y$ for burgers $\newline$ Inequality: $5x + 4y \leq 40$

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