Question

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.

Answer 1

Given that, the total number of students in seventh and eighth grade combined is 584.

Explanation:

Answer 2

Given that, the total number of students in seventh and eighth grade combined is 584.

The number of students in seventh grade= 5/8 of the total number of students.

`=\frac 5 8 * 584=365`

As 4/5 of the total seventh-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

`= \frac 4 5 * 365=292`

The number of students in the eighth grade 3/8 of the total number of students.

`=\frac 3 8 * 584=219`

As 7/8 of the total eighth-grade students participated in the track-and-field-event.

So, the number of seventh-grade students participated

`= \frac78 * 219=191.625.`

The number of students must be a counting number, but here, as per the given information, the number of seventh-grade students participated coming out a fractional number, so the given information is incorrect.

Although, as per the given data, the mathematical value of the total number of students participated from both the grade combined

=292+191.625

=483.625 (mathematically)

Again, in real life, the fractional value of the total number of students is not possible.