Question

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Answer 1

C. Mark downloaded 4 pop songs, 2 rock songs and 4 hip hop songs.
D. Mark downloaded 1 pop songs, 4 rock songs and 5 hip hop songs.

Answer 2

You can use the information in the question get the equations:

Mark - 10=p+r+h [p=pop, r=rock, h=hip hop]
Jess - 28 =5p+2r+3h
Nate - 20=3p+3r+h

Multiplying Mark equation by three (giving 30=3p+3r+3h) and taking away Nate's equation from this leaves a new equation 10=2h, so h=5

You can then multiply mark original equation again, but by 2 (giving 20=2p+2r+2h) and subtract this from Jess equation (giving 3p+h=8) and we know h=5, so 3p=3 and p=1, which proves answer is Mark downloaded 1 pop song, 4 rock songs and 5 hip hop songs.

Answer 3

Answer: D