The average age of boys in the class is 15.5 years, while girls average age is 16.5 years.
The average age of total students of the class is 16 years. If there are 30 boys in class
then find the number of girls in class.
Answers
Given:
Number of boys = 30
Average age of the boys = 15.5 years old
Average age of the girls = 16.5 years old
Average age of the students = 16 years old
Define x:
Let the number of girls = x
Find the total age of the girls:
Total age of the girls = Number of girls x Average age of the girls
Total age of the girls = 16.5x years old
Find the total age of the boys:
Total age of the boys = Number of boys x Average age of the boys
Total age of the boys = 30 x 15.5
Total age of the boys = 465 years old
Find the total number of students:
Total number of students = 30 + x
Find the total age of the students:
Total age of the students = Total Number x Average age of the students
Total age of the students = 16 (30 + x)
Total age of the students = 480 + 16x
Solve x:
16.5x + 465 = 480 + 16x
0.5x = 15
x = 30
Answer: There are 30 girls.
Answer:
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Step-by-step explanation:
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