SOLUTION: You are planning to spend no less than $6000 and no more than $10,000 on your landscaping project. 1. Write an inequality that demonstrates how much money you will be willing to

Question 150347: You are planning to spend no less than $6000 and no more than $10,000 on your landscaping project.
1. Write an inequality that demonstrates how much money you will be willing to spend on the project.
2. Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
3. Would 5 trees be a solution to the inequality in number 2? Justify your answer.
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
1. Write an inequality that demonstrates how much money you will be willing to spend on the project.

x=money you spend

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2. Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.

30(60)=price of 30 tons of rocks
2500-[30(60)]=budget left for trees
{2500-[30(60)]}/84=maximum amount of trees you can buy

1800=price of 30 tons of rock
2500-1800=700 (budget left for trees)
700/84=8.33333 (maximum amount of trees, before rounding)
Maximum amount of trees you can buy=8

Therefore,

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3. Would 5 trees be a solution to the inequality in number 2? Justify your answer.

Yes, because 5 is less than or equal to 8.
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