Cody, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $390 total for his purchases. He can get the rakes at a cost of $11 apiece and the shovels at a cost of $23 apiece. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of rakes ordered y = the number of shovels ordered Choices: (A)11x + 23y > 390 (B)11x + 23y < 390 (C)11x + 23y ≥ 390 (D)11x + 23y ≤ 390

Calculate Costs: Determine the cost for one rake and one shovel. Cody can buy rakes at $11 each and shovels at $23 each. Therefore, the cost for x rakes is 11x dollars and the cost for y shovels is 23y dollars.Combine Total Spending: Combine the costs to represent the total spending. The total cost for rakes and shovels combined is the sum of the cost for rakes and the cost for shovels, which is 11x + 23y dollars.Set Spending Limit Inequality: Set up the inequality based on Cody's spending limit. Cody does not want to spend more than $390. This means the total cost for rakes and shovels must be less than or equal to $390. The inequality that represents this situation is 11x + 23y ≤ 390.Choose Correct Inequality: Choose the correct inequality from the given choices. The correct inequality that represents Cody's spending limit is (D)11x + 23y ≤ 390, as it correctly states that the total cost for rakes and shovels should be less than or equal to $390.

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Cody, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than $\$390$ total for his purchases. He can get the rakes at a cost of $\$11$ apiece and the shovels at a cost of $\$23$ apiece. $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of rakes ordered $\newline$ $y =$ the number of shovels ordered $\newline$ Choices: $\newline$ (A) 11x + 23y > 390 $\newline$ (B) 11x + 23y < 390 $\newline$ (C) $11x + 23y \geq 390$ $\newline$ (D) $11x + 23y \leq 390$

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Algebra 1

Write two-variable inequalities: word problems

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Q. Cody, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. He doesn't want to spend more than

\$390

total for his purchases. He can get the rakes at a cost of

\$11

apiece and the shovels at a cost of

\$23

apiece.

\newline

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

\newline

x =

the number of rakes ordered

\newline

y =

the number of shovels ordered

\newline

Choices:

\newline

(A)

11x + 23y > 390

\newline

(B)

11x + 23y < 390

\newline

(C)

11x + 23y \geq 390

\newline

(D)

11x + 23y \leq 390

Calculate Costs: Determine the cost for one rake and one shovel. $\newline$ Cody can buy rakes at $\$11$ each and shovels at $\$23$ each. Therefore, the cost for $x$ rakes is $11x$ dollars and the cost for $y$ shovels is $23y$ dollars.
Combine Total Spending: Combine the costs to represent the total spending. $\newline$ The total cost for rakes and shovels combined is the sum of the cost for rakes and the cost for shovels, which is $11x + 23y$ dollars.
Set Spending Limit Inequality: Set up the inequality based on Cody's spending limit. $\newline$ Cody does not want to spend more than $\$390$ . This means the total cost for rakes and shovels must be less than or equal to $\$390$ . The inequality that represents this situation is $11x + 23y \leq 390$ .
Choose Correct Inequality: Choose the correct inequality from the given choices. $\newline$ The correct inequality that represents Cody's spending limit is (D) $\newline$ $11x + 23y \leq 390$ , as it correctly states that the total cost for rakes and shovels should be less than or equal to $\$390$ .