20 POINTS AND WILL MARK BRAINLIESTThe event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584. 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 if the seventh graders participated in tack-and-field day and 7/8 of the eight graders participated, about how many total students participated. Describe the process you used.
Accepted Solution
A:
Let's find an eighth of 584. Break this down step by step.
584/8= 73
So, eighth equals = 73.
Now find how many seven and eighth-graders there are by multiplying 73 by the desired number.
73*5= 365 (seventh graders)
73*3= 219 (eighth graders)
So, just divide both numbers by the denominator of the fraction used, and then multiply by the numerator for the correct amount of both who participated.
365/ 5= 73
73*4= 292
292 of the seventh graders participated.
219/8= 27.375
Multiply that by the numerator.
27.375*7= 191.625 (8th graders)
The question said about how many participated, so round 191 up to 192.
292 seventh graders and 192 eighth graders participated in field day.