Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A landscaping business is purchasing plants from a nursery to finish a project. It will cost $11\$11 each to buy each tree and $5\$5 each to buy each bush. The landscaper wishes to keep the spending under $1,200\$1,200.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of trees\newliney=y = the number of bushes\newlineChoices:\newline(A) 11 + x + 5 + y < 1,200\newline(B) 11x + 5y < 1,200\newline(C) 5x + 11y < 1,200\newline(D) 5 + x + 11 + y < 1,200

Full solution

Q. A landscaping business is purchasing plants from a nursery to finish a project. It will cost $11\$11 each to buy each tree and $5\$5 each to buy each bush. The landscaper wishes to keep the spending under $1,200\$1,200.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of trees\newliney=y = the number of bushes\newlineChoices:\newline(A) 11+x+5+y<1,20011 + x + 5 + y < 1,200\newline(B) 11x+5y<1,20011x + 5y < 1,200\newline(C) 5x+11y<1,2005x + 11y < 1,200\newline(D) 5+x+11+y<1,2005 + x + 11 + y < 1,200
  1. Determine Cost Calculation: We need to determine the cost of purchasing trees and bushes. The cost of each tree is $11\$11, and the cost of each bush is $5\$5. The variables xx and yy represent the number of trees and bushes, respectively. To find the total cost, we will multiply the cost per item by the number of items.
  2. Calculate Total Cost for Trees: The total cost for trees is $11\$11 multiplied by the number of trees (xx), which gives us 11x11x.
  3. Calculate Total Cost for Bushes: The total cost for bushes is $5\$5 multiplied by the number of bushes (yy), which gives us 5y5y.
  4. Find Total Cost for Trees and Bushes: To find the total cost for both trees and bushes, we add the total cost for trees 11x11x and the total cost for bushes 5y5y, which gives us 11x+5y11x + 5y.
  5. Set Spending Limit Inequality: The landscaper wishes to keep the spending under $1,200\$1,200. Therefore, the inequality that describes this situation is that the total cost for trees and bushes must be less than $1,200\$1,200. The inequality in standard form is 11x + 5y < 1,200.

More problems from Write two-variable inequalities: word problems