The music for Nadia's dance routine lasts 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?

and ...

In a game of darts, Annie hits the bull's eye 4 times out of 25 times. Benjamin hits the bull's eye 8 times out of 100 times.

a) Who hits the bull's eye more times?

b) Whose aim is more accurate? Justify your answer.

percent is parts out of 100

x%=x/100

dance is 4 minutes or 4*60=240 seconds

she starts with music and ends 12 seconds before music stops. she therefore uses 240-12=228 seconds

used/total=x%,

228/240=x/100

solve for x

multiply both sides by 100

22800/240=x

95=x

answer is 95%

a.

since 8>4, I will say that benjamin hits the bull's eye more times (even though if they were given the same amount of throws, annie would probably hit the bull's eye more times)

b.

annie:

4 out of 25

4/25=x/100

multiply both sides by 100

400/25=x

16=x, so she hits it 16% of the time

benjie

8 out of 100

8/100=x/100

x=8

so he hits 8% of the time

16%>8% so annie is more accurate