A community pool has 4 lounge chairs available for each family that visits. If there are fewer than 128 lounge chairs, use an inequality to find the number of families, f, that visit the pool.
A. f ≤ 32 families
B. f < 32 families
C. f ≤ 124 families
D. f < 124 families
Answer (2)
Set up the inequality: 4 f < 128 .
Divide both sides by 4: f < 32 .
The number of families must be less than 32.
The solution is: f < 32
Explanation
Understanding the Problem Let's analyze the problem. We know that a community pool has 4 lounge chairs for each family that visits. We also know that there are fewer than 128 lounge chairs in total. We need to find an inequality that represents the number of families, f , that can visit the pool.
Setting up the Inequality We can set up an inequality to represent this situation. Since there are 4 lounge chairs per family, the total number of lounge chairs used is 4 f . We know that this number must be less than 128. So, the inequality is: 4 f < 128
Solving the Inequality Now, we need to solve this inequality for f . To do this, we divide both sides of the inequality by 4: 4 4 f < 4 128 f < 32
Interpreting the Solution This inequality tells us that the number of families, f , must be less than 32. Therefore, fewer than 32 families can visit the pool.
Examples
Imagine you're organizing a school trip to a museum. Each bus can hold 30 students, and you know that fewer than 150 students are going on the trip. This problem is similar; you need to determine the maximum number of buses needed to accommodate the students. By setting up an inequality, you can quickly find out how many buses to reserve, ensuring everyone has a seat without booking too many buses. This kind of problem-solving is useful in many real-life situations, from planning events to managing resources efficiently.
The number of families that can visit the community pool according to the inequality is f < 32 , meaning there can be fewer than 32 families. The correct answer choice is B. f < 32 .
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