Families that attended a concert featuring music from the early 1900s were surveyed
about which type of music from the concert they preferred. The table shows the results
of the survey. What percent of the children surveyed preferred ragtime music?
30%
Adults
Children
Total
60%
Concert Music Preferred
Blues
15
6
21
Jazz
14
36
50
89%
Ragtime
11
18
29
Total
40
60
100
18%

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} & \sf Jazz&\sf Blues & \sf Ragtime & \sf Total\\\cline{1-5} \sf Adult & 14& 15&11 & 40\\\cline{1-5} \sf Children &36 &6& 18& 60\\\cline{1-5} \sf Total &50 &21 &29 & 100\\\cline{1-5}\end{array}[/tex]

From observation of the table:

The number of children that preferred ragtime music is 18.
The total number of children is 60.

To find the percent of the children surveyed that preferred ragtime music, divide the number of children that preferred ragtime music by the total number of children:

[tex]\begin{aligned}\implies \sf Percent&=\dfrac{\sf Children\;who\;preferred\;ragtime}{\sf Total\;children}\\\\&=\dfrac{18}{60}\\\\&=\dfrac{18 \div6}{60\div 6}\\\\&=\dfrac{3}{10}\\\\&=\dfrac{3 \times 10}{10 \times 10}\\\\&=\dfrac{30}{100}\\\\&=30\%\end{aligned}[/tex]