SOLUTION: I want to cover my backyard with rock and plant some trees. I need 30 tons of rock and it will cost $60 each ton and each tree will cost $84. What is the maximum number of trees

Question 222290: I want to cover my backyard with rock and plant some trees. I need 30 tons of rock and it will cost $60 each ton and each tree will cost $84. What is the maximum number of trees I can buy with a budget for rock and trees of $2,500? I have to write an inequality that illustrates the problem and solve. Express my answer as an inequality and explain how I arrived at my answer. I am having a hard time with algebra please help me. Thank you. Cindy
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I want to cover my backyard with rock and plant some trees. I need 30 tons of rock and it will cost $60 each ton and each tree will cost $84. What is the maximum number of trees I can buy with a budget for rock and trees of $2,500? I have to write an inequality that illustrates the problem and solve.
.
"budget" <= "cost of rocks" + "cost of trees"
.
Let x = number of trees
then
2500 >= 30(60) + 84x
2500 >= 1800 + 84x
700 >= 84x
8.33 >= x
.
At most you can buy ONLY 8 trees.

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