SOLUTION: I need help please. I need to write an inequality and explain the answer. If I need 30 tons of rock to cover an area and each ton costs $60.00 and each tree is $84.00, what is the

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Question 297102: I need help please. I need to write an inequality and explain the answer. If I need 30 tons of rock to cover an area and each ton costs $60.00 and each tree is $84.00, what is the maximum number of trees I can buy with $2500.00? Would 5 trees be a solution to the inequality? Please advise how I would write this. Thank you.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
You need 30 tons of rock to cover the area.

That is fixed.

30 * 60 = $1800.

You have $2500 to spend.

$2500 - 1800 = $700.

You have $700 to spend on trees.

$700 / $84 = 8.333333333 trees.

You can buy up to 8 trees.

the formula you would use is as follows:

Let T = number of trees.
Let R = number tons of rocks.
Let x = price per ton of rocks.
Let y = price per tree.

the general formula you would use is

T <= %282500+-+%28x%2AR%29%29%2Fy

When x = $60 and R = 30 and y = $84, this formula becomes:

T <= %282500+-+%2860%2A30%29%29%2F84

Simplify this equation to get:

T <= %282500+-+%281800%29%29%2F84

Simplify further to get:

T <= 700%2F84

Simplify further to get:

T <= 8.333333333

Since you can't buy a partial tree, you can buy up to 8 trees.

"<=" means less than or equal to