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Maddie is selling handmade toys in an online craft boutique. She hopes to earn at least $\$280$ by selling toy cars for $\$5$ each and toy trucks for $\$11$ each. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of toy cars $\newline$ $y =$ the number of toy trucks $\newline$ Choices: $\newline$ (A) 5x + 11y > 280 $\newline$ (B) $11x + 5y \geq 280$ $\newline$ (C) 11x + 5y > 280 $\newline$ (D) $5x + 11y \geq 280$

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Write a linear inequality: word problems

Full solution

Q. Maddie is selling handmade toys in an online craft boutique. She hopes to earn at least

\$280

by selling toy cars for

\$5

each and toy trucks for

\$11

each.

\newline

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

\newline

x =

the number of toy cars

\newline

y =

the number of toy trucks

\newline

Choices:

\newline

(A)

5x + 11y > 280

\newline

(B)

11x + 5y \geq 280

\newline

(C)

11x + 5y > 280

\newline

(D)

5x + 11y \geq 280

Identify Variables: Maddie wants to earn at least $\$280$ by selling toy cars and trucks. The price of each toy car is $\$5$ , and the price of each toy truck is $\$11$ . We need to find an inequality that represents this situation using the variables $x$ for the number of toy cars and $y$ for the number of toy trucks.
Calculate Earnings from Toy Cars: First, we calculate the total earnings from selling $x$ toy cars at $\$5$ each. This is represented by the expression $5x$ .
Calculate Earnings from Toy Trucks: Next, we calculate the total earnings from selling $y$ toy trucks at $\$11$ each. This is represented by the expression $11y$ .
Find Total Earnings Expression: To find the total earnings from both toy cars and toy trucks, we add the two expressions together. This gives us the total earnings expression: $5x + 11y$ .
Formulate Inequality: Since Maddie hopes to earn at least \$\(280\), the total earnings from selling toy cars and trucks must be greater than or equal to \$\(280\). This gives us the inequality \(5x + 11y \geq 280\).

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