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Writing Inequalities from Word Problems

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 the answer as an inequality and explain how you arrived at the answer.

O.K. I know the answer if 8 trees.

I arrived at this answer by doing the following
I took 60 times 30 to get 1800, 60=to the amount of money per ton and 30 because the problem calls for 30 tons. I need to know how much the rock will cost so I can then subtract than from my budget of \$2500 to see what money is left for the trees. The amount left from the budget left after purchasing the rock is \$700. To find the number of trees I can buy I divided 700 by 84 that gave me 8 1/3 to round it I would be able to buy 8 trees.

My problem is how do I express this in an inequality to solve an express the answer.

Solution Preview

Hi, your explanation part is absolutely right.

Let me explain how to set up an inequality in order to solve this problem.

Total amount = \$2500
Cost of rock =\$60 per ton
Cost of a ...

Solution Summary

An inequality is written from a word problem.

\$2.19