# Pupils

There are 32 pupils in the classroom, and girls are two-thirds more than boys.

a) How many percents are more girls than boys? Round the result to a whole percentage.
b) How many are boys in the class?
c) Find the ratio of boys and girls in the class. Write in the simplest form.

Result

c =  12
d =  20
p =  67 %
f =  3:5

#### Solution:

c+d=32
d = c+ 2/3c

c+d = 32
5c-3d = 0

c = 12
d = 20

Calculated by our linear equations calculator.
$p = 100 \cdot \ \dfrac{ d-c }{ c } = 100 \cdot \ \dfrac{ 20-12 }{ 12 } = \dfrac{ 200 }{ 3 } \doteq 66.6667 = 67 \%$
$f = \dfrac{ c }{ d } = \dfrac{ 12 }{ 20 } = \dfrac{ 3 }{ 5 } = 0.6 = 3:5$

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