A science class has a ratio of girls to boy 4 3 if the class has a total of 35 students how many more girls are there than boys
Answers
Let, the common multiple of the ratio be ,'n'
∴ No. of girls=(4×n)
= 4n
∴ No. of boys = (3×n)
= 3n
By condition,
4n+3n = 35
⇒ 7n= 35
⇒ n = 35/7
⇒ n = 5
∴ The no. of girls = (4×5)
= 20 girls
∴ The no. of boys = (3×5)
= 15 boys
∴ The no. of girls is more than the boys =(20-15)
= 5 girls
(Ans): 5
Given,
Gi-rls to boys ratio = 4:3,
Total students = 35.
To find,
How many more are gi-rls there than boys.
Solution,
The ratio of gi-rl students to boy students in a science class is given as 4:3.
Now let,
the number of gi-rls = 4x and,
the number of boys = 3x.
The total number of students is given to be 35.
So, adding the number of gi-rls and boys should give the total number of students. It means,
4x + 3x = 35
⇒ 7x = 35
⇒ x = 5.
So, as we have assumed earlier,
the number of gi-rls = 4x = 4(5) = 20, and,
the number of boys = 3x = 2(5) = 15.
Now, the difference between the two will give how many more are the gi-rls than the boys. So, the difference will be,
number of gi-rls - number of boys
= 20 - 15 = 5.
Therefore, in the given class, 5 more gi-rls are there than the number of boys.