Question

Harrison has 40 CDs in his music collection.

If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?

Answer 1

20% are other CD music

Answer 2

HERE IS YOUR SOLUTION...⬇⬇
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$\underline{SOLUTION}$ ➡

$Let ,\\ \\ Total \: \: percent \: \: of \: \: CD \: = 100\% \\ \\ \\ Given ,\: \\ \\ 30\% \: \: \: of \: \: them \: \: are \: \: country \: \: music \\ And \: 50\% \: \: of \: \: them \: \: are \: \: pop \: \: music .\\ \\ Let , \\ \\ Other \: \: type \: \: of \: \:music \: \:CD \: = x\% \\ \\ A.T.Q., \\ \\ 30 + 50 + x = 100 \\ \\ = > 80 + x = 100 \\ \\ = > x = 100 - 80 \\ \\ = > x = 20 \\ \\ So, \: \: 20\% \: \: of \: them \: \: are \: \: other \: \: type \: \: \\ of \: \: music \: \: CD.$

$Given ,\\ \\ Total \: \: number \: \: of \: \: CD = 40 \\ \\ 30\% \: \: of \: them \: \: are \: country \: \: music. \: \\ \\ So, \: \\ \\ Number \: \: of \: \: country \: \: music \: \: CD \: \\ \\ = 30\% \: \: of \: \: 40 \\ \\ = \frac{30}{100} \times 40 \\ \\ = 12 \\ \\ 50\% \: \: of \: them \: \: are \: \: pop \: \: music .\\ \\ So ,\\ \\ Number \: \: of \: \: pop \: \: music \: \: CD\: \\ \\ = 50\% \: \: of \: \: 40 \\ \\ = \frac{50}{100} \times 40 \\ \\ = 20 \\ \\ 20\% \: \: of \: \: them \: \:a re \: \: other \: \: type \: \: \\ of \: music \: \: CD. \\ \\ So, \\ \\ Number \: \: of \: \: other \: \: type \: \: of \: \: music \\ \\ = 20\% \: \: of \: \: 40 \\ \\ = \frac{20}{100} \times 40 \\ \\ = 8$

$\underline{ANSWER}$ ➡

$20\% \: \: \: of \: \: the \: \: music \: \: CD \: \: collections \: \: \\ are \: \: other \: \: types \: \: of \: \: music \: \: CD .\\ \\ \\ 8 \: \: numbers \: \: of \: \: the \: \: music \: \: CD \: \: \\ collections \: \: are \: \: other \: \: types \: \: of \: \: \\ music \: \: CD \: .$

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