3. A TV channel appoints a news reader for 15 days on the condition that the reader will receive 500 for each day he works for the channel and 100 will be deducted from his salary for each day if he does not turn up. If the reader receives 5100 at the end of 15 days, find the number of days he reads the news.
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Answer:
11 days
Step-by-step explanation:
Absent = A
Present = B
A + P = 15 days -- equation 1
500P - 100A = 5100 (lets divide bith sides all by 100)
5P - A = 51 -- equation 2
5P - 51 = A
from equation 1 and 2
(5P - 51) + P = 15
6P - 51 = 15 --Using transposition
6P = 15 + 51 --Using transposition
6P = 66 --Using transposition
P = 11
A = 4
therfore he was present 11 days
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