SOLUTION: Imagine you want to cover a backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $75 and each tree is $93, what is the

Algebra ->  Linear-equations -> SOLUTION: Imagine you want to cover a backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $75 and each tree is $93, what is the      Log On


   



Question 318755: Imagine you want to cover a backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $75 and each tree is $93, 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.
I have been trying to figure out the above question for days this is what I came up with
$75x$93= $6,957 but I went over the budget. What am I doing wrong? Thank You

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The cost of rock=75%2AR, where R is the number of tons of rock you buy.
The cost of trees=93%2AT, when T is the number of trees you buy.
Total Cost=C=75R%2B93T, you know you have to buy 30 tons of rock, so R=30.
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C=75%2830%29%2B93T
C=2250%2B93T%3C=2500
93T%3C=250
T%3C=250%2F93
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Since 250%2F93 is about 2.7, then you can only buy 2 trees once you buy all of the rock.