a total of 8000 runners started a long distance race. the results of the race are listed below.
3/16 of the runners finished the race in less than 4 hours
.65 of the runners finished the race in 4 hours or more hours.
the rest of the runners did not finish the race
calculate the number of runners who finished the race in less then 4 hours.
calculate the number of runners who did not finish the race
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I believe the answer is 1,300 runners
1. First you calculate 3/16 of 8000
(You can do this by either multiplying by 3/16, multiplying the decimal form of 3/16 (0/1875), or dividing by 16 and multiplying that answer by three)
Ill divide by 16 and then multiply by three
(8000 divided by 16)= 500 500 X 3 = 1500 Runners finished in less than 4 hours
2. Find the number of runners that finished the race in 4 or more hours
First, you can either multiply .65 and 8000, or multiply the fraction form of .65 (which is 65/100 or in simplest form, 13/20)
Ill just multiply by the decimal .65 X 8000= 5200 Finished the race in 4 or more hours
3. Then, you find out how many completed the race in total
First, you add the runners who finished the race in less than 4 hours and the race in 4 or more hours
1500 + 5200= 6700 Completed Race
4. Then, you subtract the total runners who finished from the total runners in all
8000- 6700= 1300
5. Answer: 1,300 did NOT complete the race.
Fraction who didn't: 13/80
Percent who didn't:16.25%