SOLUTION: b. 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 cos

Algebra ->  Inequalities -> SOLUTION: b. 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 cos      Log On


   

Question 553957: b. 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 by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
30 tons of rock at 60 dollars per ton equals 1800 dollars.
you have 2500 - 1800 = 700 left.
the amount of trees you can plant are <= 700/84 = 8.33333.
the equation that would take care of this would be:
T <= (2500 - R*60)/84.
that would get you:
T <= (2500 - 30*60)/84 which gets you:
T <= 2500 - 1800)/84 which gets you:
T <= 700/84 which gets you:
T <= 8.33333
since you can't plant part of a tree, then your answer will be any integer between 0 and 8.