The ratio of the number of girl students to the number of boy students in a class is 3: 5 and the number of boy students is 12 students more than the number of girl students. There are...students in this class
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The number of students of class 5B is:
8 : (9 - 7) × 7 = 28 (students)
The number of students of class 5A is:
8 : (9 - 7) × 9 = 36 (students)
10 studens :
5-3=2 parts
1 part
10:2=5 studens
that class has
5x9=45 studens
answer:45 studens
I call the number of students didn't take part in Mathemas Competition in class A & B are a & b respectively
(with condition: a & b \(\in\)N*)
,From the theme, we have: \(\frac{1}{3}b+a=\frac{1}{5}a+b\)(Because rhe number of students in 2 class is the same)
\(\Leftrightarrow\frac{b}{3}-b+a-\frac{a}{5}=0\Leftrightarrow\left(-\frac{2b}{3}\right)+\frac{4a}{5}=0\)
\(\Leftrightarrow\frac{4a}{5}-\frac{2b}{3}=0\Leftrightarrow\frac{12a-10b}{15}=0\Leftrightarrow12a=10b\)
\(\Rightarrow\frac{a}{b}=\frac{10}{12}=\frac{5}{6}\)
So the ratio of the number of student didn't take part of Class A & B is \(\frac{5}{6}.\)
g = 3/4 b
g+b=1400
7/4 b = 1400
b = 800
g = 600
1st grade boys: 1/5 * 800 = 160
1st grade girls: 1/6 * 600 = 100
total 1st grade: 260
others: 1140
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