---------------------------------------------- Define x: ---------------------------------------------- Let x be the number of students in the second class: ⇒second class = x
There are 3 more students in the first class than in the second class: ⇒first class = x + 3
There are 2 more students in the third class than in the second class: ⇒third class = x + 2
---------------------------------------------- Expression for each class: ---------------------------------------------- First class = x + 3 Second class = x Third class = x + 2
---------------------------------------------- Expression for total number of students: ---------------------------------------------- Total = x + 3 + x + x + 2 Total = 3x + 5
---------------------------------------------- Find x: ---------------------------------------------- There are 80 students in total, so 3x + 5 = 80 3x = 75 x = 25
---------------------------------------------- Find the number of students in each class: ---------------------------------------------- First class = x + 3 = 25 + 3 = 28 Second class = x = 25 Third class = x + 2 = 25 + 2 = 27
-------------------------------------------------------------------------------------------- Answer: There are 25 students in the second class. --------------------------------------------------------------------------------------------
you should write equation for this if we put x as the number of students in the second class then the equation will be : [tex](3 + x) + x(2 + x) = 80 \\ 3 + x + x + 2 + x = 80 \\ 5 + 3x = 80 [/tex] now you can find the value of x: [tex]5 + 3 x = 80 \\ 3x = 80 - 5 \\ 3x = 75 \\ x = \frac{75}{3} = 25[/tex] the number of students in the second class is 25