SOŠ 2

The secondary vocational school keeps statistics on the number of students who applied. In 2014 and 2016 combined, a total of 1,435 students applied to the school. In 2015, 70 more students applied than in 2014, and in 2016, 1.5 times more students applied than in 2015.

Calculate how many students applied to the school in 2016.

Final Answer:

c =  645

Step-by-step explanation:


a+b+c = 1435
b = 70 + a
c = 1.5 · b

a+b+c = 1435
a-b = -70
1.5b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 1435
-2b-c = -1505
1.5b-c = 0

Row 3 - 1.5/-2 · Row 2 → Row 3
a+b+c = 1435
-2b-c = -1505
-1.75c = -1128.75


c = -1128.75/-1.75 = 645
b = -1505+c/-2 = -1505+645/-2 = 430
a = 1435-b-c = 1435-430-645 = 360

a = 360
b = 430
c = 645

Our linear equations calculator calculates it.



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