Question

Question for brainly teacher only

In a survey of 8000 people in a city it was found that
5200 people read magazine X,
4320 read Y, 3600 read Z,
3040 read X and Y,
2560 read Y and Z,
2240 read X and Z.
If 960 people do not read any of the 3 magazines, find the number of people who read
(1) all the 3 magazines
(ii) exactly 1 magazine​

Answer 1

$\huge\underline\mathfrak\color{red}Answer:-$

b + x = 3040

b = 3040 - x

c = 2240 - x

d = 2569 - x

f + b + x + c = 5200

f + 3040 - x + x + 2240 - x = 5200

f = - 80 + x

Similarly:

g = - 1200 + x

e = - 1280 + x

So,

f + g + e + d + c + b + x = 8000 - 960

- 80 + x - 1200 + x - 1280 + x + 2560 - x + 2240 - x + 3040 - x + = 7040

$\fbox\pink{ x = 1769}$

So,

(i) = 1760

(ii) exactly 1 magazine = f + g + e

= - 80 + x - 1200 + x - 1260 + x

= 2720

Answer 2

Step-by-step explanation:

b + x = 3040

b = 3040 - x

c = 2240 - x

d = 2569 - x

f + b + x + c = 5200

f + 3040 - x + x + 2240 - x = 5200

f = - 80 + x

Similarly:

g = - 1200 + x

e = - 1280 + x

So,

f + g + e + d + c + b + x = 8000 - 960

- 80 + x - 1200 + x - 1280 + x + 2560 - x + 2240 - x + 3040 - x + = 7040

\fbox\pink{ x = 1769}

x = 1769

So,

(i) = 1760

(ii) exactly 1 magazine = f + g + e

= - 80 + x - 1200 + x - 1260 + x

= 2720

hope this helps you...