Q:

The music for Nadia’s dance routine last for exactly 4 minutes. When Nadia dances her routine, she starts with her music and finishes 12 seconds before the music ends. What percent of the time the music is playing is Nadia dancing?

Accepted Solution

A:
4 x 60 = 240 seconds

[tex] \frac{12}{60} / \frac{12}{12} = \frac{1}{5} [/tex] of a minute not dancing.

[tex]4 \times 5 = 20 - 1 = 19 [/tex][tex] \frac{19}{20} \times \frac{5}{5} = \frac{95}{100} [/tex]

95% of the time dancing