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 boys are in the class? c) Find the ratio of boys and girls in the class. Write in the simplest form.

Correct answer:

c =  12
d =  20
p =  67 %
f =  3:5

Step-by-step explanation:

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

c+d=32
d = c+ 2/3•c

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

c = 12
d = 20

Our linear equations calculator calculates it.

$p=100\cdot {\displaystyle \frac{d-c}{c}}=100\cdot {\displaystyle \frac{20-12}{12}}={\displaystyle \frac{200}{3}}\mathrm{\%}=67\mathrm{\%}$

$f={\displaystyle \frac{c}{d}}={\displaystyle \frac{12}{20}}={\displaystyle \frac{3}{5}}=0.6=3:5$

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