Question

An orchestra consists of 25 members. The youngest member is 32 years old. She leaves and is replaced by a new member who is 30 years old.
By how much does the replacement change the average age of the members of the orchestra?

Answer 1

2

Answer 2

hw did you get this answer

Answer 3

someone can explain this

Answer 4

I don't know answer

Answer 5

Let A = old average and B = new average

The old average was found by dividing the sum of the ages S by 25 to get

S/25 = A

The new average is found by subtracting 32 from that sum S and adding in 30. Then you still divide by 25 (since you still have 25 people)

(S-32+30)/25 = B

(S-2)/25 = B

S/25-2/25 = B

A-2/25 = B

B = A - 2/25

B = A - 0.08


So

B = A - 0.08

which shows us that the average age decreased by 0.08 years