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Krysta is selling handmade jewelry to earn money for camp. Bracelets sell for $\$5$ and necklaces sell for $\$14$ , and she needs to make at least $\$380$ in revenue to cover the cost of camp. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of bracelets $\newline$ $y =$ the number of necklaces $\newline$ $\newline$ Choices: $\newline$ (A) 5x + 14y > 380 $\newline$ (B) $14x + 5y \geq 380$ $\newline$ (C) 14x + 5y > 380 $\newline$ (D) $5x + 14y \geq 380$

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Write a linear inequality: word problems

Full solution

Q. Krysta is selling handmade jewelry to earn money for camp. Bracelets sell for

\$5

and necklaces sell for

\$14

, and she needs to make at least

\$380

in revenue to cover the cost of camp.

\newline

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

\newline

x =

the number of bracelets

\newline

y =

the number of necklaces

\newline

\newline

Choices:

\newline

(A)

5x + 14y > 380

\newline

(B)

14x + 5y \geq 380

\newline

(C)

14x + 5y > 380

\newline

(D)

5x + 14y \geq 380

Calculate Revenue: Determine the revenue from selling one bracelet and one necklace. $\newline$ Revenue from one bracelet: $\$5$ $\newline$ Revenue from one necklace: $\$14$ $\newline$ Krysta's goal is to make at least $\$380$ .
Define Variables: Define the variables for the number of bracelets and necklaces sold. $\newline$ Let $x$ be the number of bracelets sold. $\newline$ Let $y$ be the number of necklaces sold.
Write Inequality: Write the inequality that represents the total revenue from selling $x$ bracelets and $y$ necklaces. $\newline$ Total revenue from bracelets: $5x$ $\newline$ Total revenue from necklaces: $14y$ $\newline$ Total revenue must be at least $\$380$ . $\newline$ Inequality: $5x + 14y \geq 380$
Match to Choices: Match the inequality to the given choices. $\newline$ The correct inequality that matches the situation is (D) $5x + 14y \geq 380$ .

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