Brain Teasers
TV or not TV
In the legendary country of Madadia, only three TV channels are available - Kebab Plus, MaddyOne and Madadia TV.
Out of 4000 TV owners in Madadia, 1500 watch Kebab Plus, 2000 watch MaddyOne and 2500 watch Madadia TV.
Amongst these, 500 viewers watch Kebab Plus and Maddyone, 800 watch Kebab Plus and Madadia TV, and 1000 watch MaddyOne and Madadia TV.
How many viewers watch all three channels?
Out of 4000 TV owners in Madadia, 1500 watch Kebab Plus, 2000 watch MaddyOne and 2500 watch Madadia TV.
Amongst these, 500 viewers watch Kebab Plus and Maddyone, 800 watch Kebab Plus and Madadia TV, and 1000 watch MaddyOne and Madadia TV.
How many viewers watch all three channels?
Answer
300 viewers watch all three channels.Let's assume that total X viewers watch all three channels.
Total viewers who watch only Kebab Plus and MaddyOne = 500-X
Total viewers who watch only Kebab Plus and Madadia TV = 800-X
Total viewers who watch only MaddyOne and Madadia TV = 1000-X
Total viewers who watch only Kebab Plus
= 1500 - (500-X) - (800-X) - X
= 200 + X
Total viewers who watch only MaddyOne
= 2000 - (500-X) - (1000-X) - X
= 500 + X
Total viewers who watch only Madadia TV
= 2500 - (1000-X) - (800-X) - X
= 700 + X
We know that total viewers are 4000. Summing up all 7 values,
X + (500 - X) + (800 - X) + (1000 - X) + (200 + X) + (500 + X) + (700 + X) = 4000
X + 3700 = 4000
X = 300
Hence, total 300 viewers watch all three channels.
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man that was kinda hard. i couldnt exactly figure out how 2 solve it
Hard to follow the math. I just did:
(4000 + 500 + 800 + 1000) - (1500 + 2000 + 2500) = 300
About 5 to 7 seconds in my head. Seemed easier this way.
(4000 + 500 + 800 + 1000) - (1500 + 2000 + 2500) = 300
About 5 to 7 seconds in my head. Seemed easier this way.
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