Question

Maple Grove wants to include two typesof maple trees, the namesake of thecity, for their parks. Two varieties ofmaple trees have been selected. Onevariety costs $85 per tree; the othermore colorful variety costs $95 per tree.The tree budget must not exceed$95,000. Citizens want more of thecolorful S95 trees than the others ifpossible.Let x be the number of S85 trees and y thenumber of S95 trees. Which system ofinequalities represents this situation?Click on the correct answer,85x 95y s 95,000x y85x 95y s 95,000x y85x 95y 95,000x 2 y85x 95y 295,000x sy

Answer 1

x = number of $85 trees, y = number of $95 trees

Logically, we can construct the expression 85x + 95y to represent how much Maple Grove spends on their trees in total. They want this cost to be less than or equal to $95,000. This means that the inequality has to be 85x + 95y ≤ 95000, either choice a or b. Since the community wants more $95 trees, they want y to be greater than or equal to x. 

This means choice b: 85x + 95y ≤ 95000, x≤y is your answer.

Hope this helps!