Yesterday, there were 8 times more students in the class than there were none. Today there are 2 more

| March 8, 2021 | education

Yesterday, there were 8 times more students in the class than there were none. Today there are 2 more people absent than yesterday and their number is 1/5 of the number of those present. How many students are there in the class?

Let’s denote the number of students who were present in the class yesterday through A, and the number of students who were absent from the lesson through B. Then we can make the equation:

A = 8 * B.

2 more people are absent today than yesterday. Therefore, today B + 2 people are absent, and there are 2 fewer people, i.e. A – 2 people.

From this we get the second equation:

1/5 * (A – 2) = B + 2.

Therefore, we have:

A – 2 = 5 * B + 10,

8 * B – 2 = 5 * B + 10,

3 * B = 12,

B = 4,

A = 8 * B = 8 * 4 = 32.

Therefore, the total number of students in the class:

A + B = 32 + 4 = 36.

Answer: there are 36 students in the class.



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