Class boy girl

There were 24 pupils from the whole class on the school trip. Out of 4/7 of all girls, ¼ did not go. Since all the boys went, there were an equal number of boys and girls on the trip. How many students are there in the class? How many boys are there?

Final Answer:

n =  26
c =  12

Step-by-step explanation:


24 = c+o
c=o
4/7·d/4 = d-o
c+d = n

c+o = 24
c-o = 0
24d-28o = 0
c+d-n = 0

Row 2 - Row 1 → Row 2
c+o = 24
-2o = -24
24d-28o = 0
c+d-n = 0

Row 4 - Row 1 → Row 4
c+o = 24
-2o = -24
24d-28o = 0
d-n-o = -24

Pivot: Row 2 ↔ Row 3
c+o = 24
24d-28o = 0
-2o = -24
d-n-o = -24

Row 4 - 1/24 · Row 2 → Row 4
c+o = 24
24d-28o = 0
-2o = -24
-n+0.1667o = -24

Pivot: Row 3 ↔ Row 4
c+o = 24
24d-28o = 0
-n+0.1667o = -24
-2o = -24


o = -24/-2 = 12
n = -24-0.16666666666667o/-1 = -24-0.16666667 · 12/-1 = 26
d = 0+28o/24 = 0+28 · 12/24 = 14
c = 24-o = 24-12 = 12

c = 12
d = 14
n = 26
o = 12

Our linear equations calculator calculates it.



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