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Carla and her family are at the movies and wish to purchase some popcorn. A large popcorn costs $\$6$ and a small popcorn costs $\$3$ . Carla has offered to pay for the popcorn with the $\$17$ in her wallet. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of large popcorns $\newline$ $y =$ the number of small popcorns $\newline$ Choices: $\newline$ (A) $3x + 6y < 17$ $\newline$ (B) $6x + 3y \leq 17$ $\newline$ (C) $3x + 6y \leq 17$ $\newline$ (D) $6x + 3y < 17$

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Write a linear inequality: word problems

Full solution

Q. Carla and her family are at the movies and wish to purchase some popcorn. A large popcorn costs

\$6

and a small popcorn costs

\$3

. Carla has offered to pay for the popcorn with the

\$17

in her wallet.

\newline

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

\newline

x =

the number of large popcorns

\newline

y =

the number of small popcorns

\newline

Choices:

\newline

(A)

3x + 6y < 17

\newline

(B)

6x + 3y \leq 17

\newline

(C)

3x + 6y \leq 17

\newline

(D)

6x + 3y < 17

Large Popcorn Cost: Large popcorn cost: $\$6$ Number of large popcorns: $x$ Total cost for large popcorns: $6 \times x = 6x$
Total Large Popcorn Cost: Small popcorn cost: $\$3$ $\newline$ Number of small popcorns: $y$ $\newline$ Total cost for small popcorns: $3 \times y = 3y$
Small Popcorn Cost: Total cost for all popcorns: $6x + 3y$ $\newline$ Carla's budget: $\$17$ $\newline$ Inequality representing the situation: $6x + 3y \leq 17$

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