The average weight of a political party is decreased by 1. when some new politicians joined the party, whose strength is 1/4 th of existing (or old) politicians and the total weight of the new politicains is 209 kgs. What is the new average weight of all politicains alwlays must be greater than 50 but less than 100:
Answers
Answer:
new average weight of all politicians = 73.67 kg or 56.25 kg
Step-by-step explanation:
Let say Number of Politician Earlier = 4P
Average Weight of Politician = M
Total Weight = 4MP
New Politicians Joine = (1/4)4P = P
Weight of New Politicians = 209 kg
New Average Weight = M - 1
Total New politicians = 4P + P = 5P
Total New Weights = 5P(M - 1)
5P(M - 1) = 4MP + 209
=> PM = 209 + 5P
weight of all politicians alwlays must be greater than 50 but less than 100:
=> 50P < 209 < 100P
=> 2 < P < 5
=> P is 3 or 4
Lets put P = 3 1st in
PM = 209 + 5P
=> 3M = 209 + 5*3
=> 3M = 224
=> M = 74.67 kg
M - 1 = 74.67 - 1 = 73.67 kg
Lets put P = 3 in
PM = 209 + 5P
=> 4M = 209 + 5*4
=> 4M = 229
=> M = 57.25 kg
M - 1 = 57.25 - 1 = 56.25 kg
new average weight of all politicians = 73.67 kg or 56.25 kg
12 896 74.67
3 209 69.67
15 1105 73.67
16 916 57.25
4 209 52.25
20 1125 56.25
Answer:
15
Step-by-step explanation:
Answer is 15,
No of politicians initially are 76 and finally 95
Initially Average 16, Finally 15.
Explained in detail in image
