Question

in a music centre there were cassettes belonging to various types of music. it was found that 125 cassettes were of pop music, 135 cassettes were of classical music, and 95 cassettes were of light music. 60 cassettes had a mixture of at least two of of the music types and 10 cassettes had a mixture of all the three. every cassette in the music centre contained at least one of the above mentioned types of music.
find the no. of cassettes with exactly one type of music?​

Answer 1

Answer:

355 (not at all sure)

Pls mark brainliest pls pls

Answer 2

Answer:

225

Step-by-step explanation:

given that 60 cassettes had a mixture of at least two of of the music types and 10 cassettes had a mixture of all the three

therefore, 60 = x+y+z+10

x+y+z= 50 ...(1)

now,

Pop music has 125 cassettes

thus, 125 = a+x+y+10

classical music has 135 cassettes

thus, 135 = b+x+z+10

and, light music has 95 cassettes

thus, 95 = c+y+z+10

now, no of cassettes with exactly one type of music will be = a+b+c

= 125+135+95 -2(x+y+z) -3(10)

= 355-2(50)-30 ...from (1)

= 225