SOLUTION: 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 th

Algebra ->  Inequalities -> SOLUTION: 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 th      Log On


   



Question 281042: 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.
Would five trees be a solution to the inequality in Part b? Justify your answer.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
What do we know ?
30 tons of rock at $60 a ton
trees at $84 each
budget 2500
30*60+84x<=2500
x<= 25/3 which is a fraction (1/3) more than 8
5 trees is within the budget but not the maximum.
8 is the maximum number of whole trees that can be bought within the budget