GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The chart above shows the percentage of all the different genres of mu
[#permalink]
24 Sep 2025, 08:01
24 Sep 2025, 08:01
Expert Reply
00:00
Question Stats:
75% (00:45) correct
25% (01:57) wrong based on 4 sessions
Hide Show timer Statistics
The chart above shows the percentage of all the different genres of music sold in a record store. If $x=2 y$ and there is a total of 1,200 CDs, which genres have fewer than 160 CDs?
Indicate all such genres.
(A) Pop
(B) Rock
(C) Jazz
(D) Dance
(E) Hip Hop
(F) Country
- Part of the project: PrepClub Daily GRE Quant Questions: Arithmetic, Algebra, Geometry & DA - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: The chart above shows the percentage of all the different genres of mu
[#permalink]
08 Oct 2025, 09:42
08 Oct 2025, 09:42
Expert Reply
Given:
- Total CDs = 1200
- Percentages for genres with variables: Pop $x %$, Rock $y %$
- Condition: $x=2 y$
The fixed percentages:
- Jazz: $12 %$
- Dance: $10 %$
- Hip Hop: $25 %$
- Country: $11 %$
Step 1: Express total percentages in terms of $y$ :
$$
\(x+y+12+10+25+11=100\)
$$
Substitute $\(x=2 y\)$ :
$$
\(\begin{gathered}
2 y+y+12+10+25+11=100 \\
3 y+58=100 \\
3 y=42 \\
y=14, \quad x=28
\end{gathered}\)
$$
Step 2: Calculate number of CDs per genre:
$$
\(\text { Pop }=28 \)% \(\times 1200=0.28 \times 1200=336\)
$$
$$
\(\begin{gathered}
\text { Rock }=14 % \times 1200=0.14 \times 1200=168 \\
\text { Jazz }=12 % \times 1200=144 \\
\text { Dance }=10 % \times 1200=120 \\
\text { Hip Hop }=25 % \times 1200=300 \\
\text { Country }=11 % \times 1200=132
\end{gathered}\)
$$
Step 3: Genres with fewer than 160 CDs:
- Jazz: 144
- Dance: 120
- Country: 132
Thus, correct answers are (C) Jazz, (D) Dance, and (F) Country.
- Total CDs = 1200
- Percentages for genres with variables: Pop $x %$, Rock $y %$
- Condition: $x=2 y$
The fixed percentages:
- Jazz: $12 %$
- Dance: $10 %$
- Hip Hop: $25 %$
- Country: $11 %$
Step 1: Express total percentages in terms of $y$ :
$$
\(x+y+12+10+25+11=100\)
$$
Substitute $\(x=2 y\)$ :
$$
\(\begin{gathered}
2 y+y+12+10+25+11=100 \\
3 y+58=100 \\
3 y=42 \\
y=14, \quad x=28
\end{gathered}\)
$$
Step 2: Calculate number of CDs per genre:
$$
\(\text { Pop }=28 \)% \(\times 1200=0.28 \times 1200=336\)
$$
$$
\(\begin{gathered}
\text { Rock }=14 % \times 1200=0.14 \times 1200=168 \\
\text { Jazz }=12 % \times 1200=144 \\
\text { Dance }=10 % \times 1200=120 \\
\text { Hip Hop }=25 % \times 1200=300 \\
\text { Country }=11 % \times 1200=132
\end{gathered}\)
$$
Step 3: Genres with fewer than 160 CDs:
- Jazz: 144
- Dance: 120
- Country: 132
Thus, correct answers are (C) Jazz, (D) Dance, and (F) Country.
Moderators:
