On a survey ⅞ students said that they preferred music over art of those students who chose music 5/7 of them want to learn a instrument what fraction represents the students who chose music and want to learn an instrument

Let x be the total number of students.

We know that 7/8x chose music over art.

5/7 of those students want to learn an instrument, so we have to multiply the number of students who chose music by 5/7:

So, 5/8 of the students want to learn an instrument.