SOLUTION: The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for a certain day, the average income becomes Re 1 less. Find the number of days f

Algebra ->  Finance -> SOLUTION: The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for a certain day, the average income becomes Re 1 less. Find the number of days f      Log On


   



Question 1055438: The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for
a certain day, the average income becomes Re 1 less. Find the number of days
for which the average is Rs 25.

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = total income for the
certain number of days
Let +n+ = the certain number of days
-------------------------------------
given:
(1) +t%2Fn+=+25+
(2) +%28+t+-+54+%29+%2F+%28+n+-+1+%29+=+24+
---------------------------
(2) +t+-+54+=+24%2A%28+n+-+1+%29+
(2) +t+-+54+=+24n+-+24+
(2) +t+-+30+=+24n%0D%0A%281%29+%7B%7B%7B+n+=+t%2F25+
Plug this result back into (2)
----------------------------
(2) +t+-+30+=+24%2A%28t%2F25%29+
(2) +t+-+30+=+t%2A%28+24%2F25+%29+
(2) +t+-+t%2A%28+24%2F25+%29+=+30+
(2) +t%2F25+=+30+
(2) +t+=+750+
--------------------
question:
Find +n+ if the average is 25
(1) +t%2Fn+=+25+
(1) +750%2Fn+=+25+
(1) +n+=+750%2F25+
(1) +n+=+30+
For 30 days, the average is Rs 25
--------------------------------
Check my math & maybe get another opinion, too



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for
a certain day, the average income becomes Re 1 less. Find the number of days
for which the average is Rs 25.
Let number of days be D
Then total income is: 25D
Excluding Rs 54 makes the new income: 25D – 54, and the number of days: D – 1
We then get the following AVERAGE DAILY-INCOME equation: %2825D+-+54%29%2F%28D+-+1%29+=+24
25D – 54 = 24(D – 1) -------- Cross-multiplying
25D – 54 = 24D – 24
25D – 24D = - 24 + 54
highlight_green%28matrix%281%2C7%2C+D%2C+or%2C+number%2C+of%2C+days%2C+%22=%22%2C+30%29%29