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Every classroom in the school has 8 tables for students. Every table in a classroom has four chairs for students. There are only six classrooms in the whole school. When every student is sitting in a chair at a table, there are still 24 empty chairs in the school. In each classroom, one of the student tables is extra. There are fewer than 175 students in the Little Red School House. how many students are there?

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Final answer:

By calculating the total number of chairs in the school and subtracting the unused and empty chairs, we determine that there are 144 students in the Little Red School House.

Step-by-step explanation:

Calculating the Number of Students

To determine how many students are in the Little Red School House, we need to calculate the total number of chairs available and then subtract the number of empty chairs.

Since every classroom has 8 tables and each table has 4 chairs, we have a total of 32 chairs per classroom. With 6 classrooms, that totals 192 chairs (32 chairs/classroom x 6 classrooms).

However, each classroom has one extra table that is not being used, which accounts for 4 chairs per classroom being unused, resulting in 24 unused chairs (4 chairs x 6 classrooms). Thus, we note that there are additionally 24 empty chairs when every student is seated.

Therefore, the total number of chairs that could potentially seat students is 192 available chairs minus the 24 unused chairs minus the 24 empty chairs, which equals 144 chairs that are being used by students.

Since each chair is used by a single student, there are 144 students in the Little Red School House.

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