when 6 new boys were admitted and 6 girls were left from the class the % of boys in the class increased from 60 % to 75 % . Find the original no. of girls and boys in the class
Answers
Answer:
When 6 boys are admitted and 6 girls left, the percentage of boys increased from 60% to 75%. In this situation the original number of the boys is 24 and that of the girls is 16.
explanation-
Let the total number of students in this class be y
The original % of boys in that class = 60%
That means the boys were 60% of y = 60/100 × y = 0.6y
The original percentage of the girls = 40%
That means the girls were 40% of y = 40/100 of y = 0.4y
When six boys are admitted, 6 girls leave. That means the total number of students is the same ⇒ y + 6 - 6 = y
The new % of the boys in class is 75%.
This means boys are 75%of y = 75/100 × y = 0.75y
The original number of boys was 0.6 y, 6 were admitted and now we have 0.75y
Make an equation from this and find y
0.6y + 6 = 0.75y
0.6y - 0.75y = -6
-0.15y = - 6
y = -6/-0.15 = 40
y = 40
Therefore the total number of students in that class is 40.
Original number of boys = 60% of 40
= 60/100 × 40
= 24 boys
Original Number of girls = 40% of 40
= 40/100 × 40
= 16 girls
Step-by-step explanation:
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Answer:
When 6 boys are admitted and 6 girls left, the percentage of boys increased from 60% to 75%. In this situation the original number of the boys is 24 and that of the girls is 16.