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Question 205173: 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 $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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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 $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.
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Cost of 30 tons of rock: 30*60 = $1800.00
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Cost of x trees: 84x dollars
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Cost + cost <= 2500
1800 + 84x <= 2500
84x <= 700
x <= 8 1/3 trees
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Cheers,
Stan H.
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