SOLUTION: I am having a really hard time trying to learn Algebra. Need assistace Please. For the first phase of the project, imagine you want to cover the backyard with decorative rock a

Algebra ->  Inequalities -> SOLUTION: I am having a really hard time trying to learn Algebra. Need assistace Please. For the first phase of the project, imagine you want to cover the backyard with decorative rock a      Log On


   

Question 327512: I am having a really hard time trying to learn Algebra. Need assistace Please.
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.
Found 2 solutions by stanbon, Eviecker:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.
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Money remaining after rock is purchased:
2500 - 60*30 = $700
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Number of trees you can purchase = 700/84 = 8 1/3
Round down to 8 trees.
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Inequality
# of trees <= [2500-60*30]/84
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Cheers,
Stan H.

Answer by Eviecker(3) About Me  (Show Source):
You can put this solution on YOUR website!
30(60) + 84× <= 2500
1800 + 84× <= 2500
1800 - 1800 + 84× <= 2500 - 1800
84× <= 700
84×/84 <= 700/84
× <= 8 1/3
The maximum number of trees you can buy with a budget of $2500 is 8 trees.