Question

( I WILL GIVE BRAINLESEST ) Maple grove wants to include two types of maple trees, the namesake of the city, for their parks. two varieties of pale trees have been selected. One variety costs $85 per tree. The tree budget must not exceed $56,000. Citizens want more of the colorful $85 trees than the others if possible.

Let x be the number of $75 trees and y the number of $85 trees. Which system of inequalities represents this situation?

75x + 85y > 56,000 x > y
75x + 85y < 56,000 x < y
75x + 85y > 56,000 x < y
75x + 85y < 56,000 x > y

Answer 1

Your answer should be B. This is because the citizens want more Y trees than X, so Y > X. And the budget must not exceed 56,000 so 75x+85y < 56,0000.

Answer 2

The correct option is B.

Explanation:

Let x be the number of $75 trees and y the number of $85 trees.

Total cost of both type of trees is

`\text{Total Cost}=75x+85y`

It is given that the tree budget must not exceed $56,000.

`\text{Total Cost}<56000`

`75x+85y<56000` .... (1)

Citizens want more of the colorful $85 trees than the others if possible. It means

y>x .... (2)

Both inequalities are contained in option B, therefore the correct option is B.