Question
Glenwood High School is constructing a new concrete basketball court that will need 60 cubic yards of concrete. When mixed, one bag of concrete will fill 0.5 cubic yards. The school ordered more than enough concrete to completely fill in the court.
Let x represent how many bags of concrete the school ordered. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
The school ordered more than bags of concrete.
Let x represent how many bags of concrete the school ordered. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
The school ordered more than bags of concrete.
Answers
GPT-4o mini
To find the inequality that describes the situation, we start by determining how many bags of concrete are needed to fill 60 cubic yards of concrete. Since one bag fills 0.5 cubic yards, to find the minimum number of bags needed, we divide the total volume by the volume of one bag:
\[
\text{Number of bags needed} = \frac{60 \text{ cubic yards}}{0.5 \text{ cubic yards/bag}} = 120 \text{ bags}
\]
Since the school ordered more than enough concrete, we represent this with the inequality:
\[
x > 120
\]
where \(x\) is the number of bags of concrete the school ordered.
Now, the solution to the inequality is any value of \(x\) greater than 120. This means:
The school ordered more than **120** bags of concrete.
\[
\text{Number of bags needed} = \frac{60 \text{ cubic yards}}{0.5 \text{ cubic yards/bag}} = 120 \text{ bags}
\]
Since the school ordered more than enough concrete, we represent this with the inequality:
\[
x > 120
\]
where \(x\) is the number of bags of concrete the school ordered.
Now, the solution to the inequality is any value of \(x\) greater than 120. This means:
The school ordered more than **120** bags of concrete.