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Dorothy is making sausages. If she wants to make at least 24 sausages that weigh 12 ounces each, which of the following best describes
x, the total weight of the sausages in ounces?
Choose 1 answer:
A
(x)/( 12) >= 24
(B)
(x)/( 12) <= 24
(C)
x-12 >= 24
(D)
x-12 <= 24

Dorothy is making sausages. If she wants to make at least $24$ sausages that weigh $12$ ounces each, which of the following best describes $x$ , the total weight of the sausages in ounces? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{x}{12} \geq 24$ $\newline$ (B) $\frac{x}{12} \leq 24$ $\newline$ (C) $x-12 \geq 24$ $\newline$ (D) $x-12 \leq 24$

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Write a linear inequality: word problems

Full solution

Q. Dorothy is making sausages. If she wants to make at least

24

sausages that weigh

12

ounces each, which of the following best describes

x

, the total weight of the sausages in ounces?

\newline

Choose

1

answer:

\newline

(A)

\frac{x}{12} \geq 24

\newline

(B)

\frac{x}{12} \leq 24

\newline

(C)

x-12 \geq 24

\newline

(D)

x-12 \leq 24

Calculate Total Weight: Dorothy wants to make at least $24$ sausages, and each sausage weighs $12$ ounces. To find the total weight $x$ in ounces, we need to multiply the number of sausages by the weight of each sausage. $\newline$ Calculation: $x = \text{number of sausages} \times \text{weight of each sausage}$ $\newline$ Since she wants to make at least $24$ sausages, we have $x \geq 24 \times 12$ .
Express in Given Form: We need to express the inequality in a form that matches one of the given choices. The inequality we have is $x \geq 24 \times 12$ , which can be rewritten by dividing both sides by $12$ to find the relationship between $x$ and $24$ . $\newline$ Calculation: $\frac{x}{12} \geq \frac{24 \times 12}{12}$ $\newline$ $\frac{x}{12} \geq 24$ $\newline$ This matches choice (A), which states $\frac{x}{12} \geq 24$ .

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