# Students 26111

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?

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.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?