The 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 of the seventh graders participated in track-and-field day and 7 8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Answers
Answer:
Wyzant
ASK
Find an Online Tutor Now
MATH WORD PROBLEM
Jonaseth B. asked • 04/18/16
Question is in the description.
An event coordinator asks you to determine how man students participated in a track-and-field day. The total number of students in seventh and eighth grade combined are 584. 5/8 of them are seventh graders and 3/8 of them are eighth graders. Using commutative and associative properties of multiplication, if 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find the answer.
Follow2
Add comment
More
1 Expert Answer
By:
Best
Alan G. answered • 04/18/16
TUTOR 5 (4)
Successful at helping students improve in math!
SEE TUTORS LIKE THIS
I would rather just explain how to find the answer. So, here goes.
584 is the total number of students in the school.
5/8 are in seventh grade and 3/8 are in eighth grade.
4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.
7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.
So, all together, there were
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.
Let's simplify as you asked:
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)
= [20/40 + 21/64] · 584 (multiply fractions)
= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)
= (32/64 + 21/64) 584 (getting a common denominator)
= (53/64) 584 (combine/add the two fractions)
= 483.625 (multiply together)
All together, there were: 483.625 students in the meet.
I would answer 484, just to be safe. This really is not a good problem, but I tried my best. Some of us old-timers recall problems like this in the 1960s and 1970s, and they gave some of us headaches (as well as the teachers). I am sorry you have to suffer with this sort of question, but please feel free to post a reply or question if you have one.
Answer:
The Dodger is a pickpocket, so called for his skill and cunning in that occupation. He is the leader of the gang of child.