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Anita is selling handmade toys in an online craft boutique. She hopes to earn at least $\$240$ by selling toy cars for $\$7$ 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) $11x + 7y \geq 240$ $\newline$ (B) $11x + 7y \leq 240$ $\newline$ (C) $7x + 11y \geq 240$ $\newline$ (D) $7x + 11y \leq 240$

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Write a linear inequality: word problems

Full solution

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

\$240

by selling toy cars for

\$7

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)

11x + 7y \geq 240

\newline

(B)

11x + 7y \leq 240

\newline

(C)

7x + 11y \geq 240

\newline

(D)

7x + 11y \leq 240

Calculate Toy Car Earnings: Determine the earnings per toy car and the number of toy cars sold. Anita sells each toy car for $\$7$ , so if she sells $x$ toy cars, her earnings from toy cars will be $7$ times $x$ , which is $\$7x$ .
Calculate Toy Truck Earnings: Determine the earnings per toy truck and the number of toy trucks sold. Anita sells each toy truck for $\$11$ , so if she sells $y$ toy trucks, her earnings from toy trucks will be $11$ times $y$ , which is $\$11y$ .
Combine Total Earnings: Combine the earnings from both toy cars and toy trucks to form an expression for total earnings. The total earnings from selling $x$ toy cars and $y$ toy trucks will be the sum of the earnings from each, which is $\$7x + \$11y$ .
Formulate Minimum Earnings Inequality: Formulate the inequality based on the minimum earnings Anita hopes to achieve. $\newline$ Anita hopes to earn at least $\$240$ from selling toy cars and toy trucks. This means that the total earnings from selling these toys must be greater than or equal to $\$240$ . Therefore, the inequality that represents this situation is $\$7x + \$11y \geq \$240$ .

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