Scarlett, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. She doesn't want to spend more than $460 total for her purchases. She can get the rakes at a cost of $8 apiece and the shovels at a cost of $21 apiece.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of rakes orderedy= the number of shovels orderedChoices:(A) 8x−21y≤460(B) 8x+21y≥460(C) 8x+21y≤460(D) 8x×21y≥460
Q. Scarlett, the owner of a landscaping company, is ordering rakes and shovels from an equipment wholesaler. She doesn't want to spend more than $460 total for her purchases. She can get the rakes at a cost of $8 apiece and the shovels at a cost of $21 apiece.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of rakes orderedy= the number of shovels orderedChoices:(A) 8x−21y≤460(B) 8x+21y≥460(C) 8x+21y≤460(D) 8x×21y≥460
Calculate Total Cost: Scarlett needs to calculate the total cost of rakes and shovels without exceeding her budget of $460. The cost of one rake is $8, and the cost of one shovel is $21. We need to find an inequality that represents this situation using the variables x for the number of rakes and y for the number of shovels.To calculate the total cost of the rakes, we multiply the number of rakes by the cost per rake:Total cost of rakes = Cost per rake × Number of rakes= $8×x= 8xTo calculate the total cost of the shovels, we multiply the number of shovels by the cost per shovel:Total cost of shovels = Cost per shovel × Number of shovels= $21×y= $80The total cost of rakes and shovels combined should not exceed $460, so we add the total costs of rakes and shovels:Total cost = Total cost of rakes + Total cost of shovels= $82The inequality that represents Scarlett's budget constraint is:$83This inequality shows that the combined cost of rakes and shovels should be less than or equal to$460.
More problems from Write a linear inequality: word problems