For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer

Question

For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $60 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer

Answer 1

Isn't Math your school subject?

Answer 2

Let trees=t. 1800+84t<=2500. Now solve for t.

Answer 3

To find the maximum number of trees you can buy with a budget of $2,500, let's first create an inequality that represents the problem.

Let's assume x represents the number of trees you can buy. Each tree costs $84, so the cost of x trees would be 84x dollars.

We know that the cost of x trees should not exceed the budget of $2,500. Therefore, the inequality can be written as:

84x ≤ 2500

To solve this inequality and find the maximum value of x, we need to isolate x.

First, divide both sides of the inequality by 84:

x ≤ 2500/84

Simplifying the right side:

x ≤ 29.76

Since the number of trees must be a whole number (you can't buy a fraction of a tree), the maximum number of trees you can buy is 29.

Therefore, the maximum number of trees you can buy with a budget of $2,500 is 29.