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I created an algebraic equation to solve this question and find out the students that were there which will make it easy to find the students absent. Let b be a baseball fan Let n be a non-baseball fan Let t be the total Let x be a number from 4 to 7 3/4=b/t 1/4=n/t t=4x Now we also know that the total number of students that were there that Morning is a multiple of 4 but over 15 and 28 or under. Therefore the total students can be 16, 20, 24, or 28. I complicated each fraction 16: 12/16 baseball fans and 4/16 non-baseball fans, 9 baseball fans absent and 5 non-baseball fans absent 20: 15/20 baseball fans and 5/20 non-baseball fans, 6 baseball fans absent and 4 non-baseball fans absent 24: 18/24 baseball fans and 6/24 non-baseball fans, 3 baseball fans absent and 3 non-baseball fans absent 28: 21/28 baseball fans and 7/28 non-baseball fans, 0 baseball fans absent and 2 non-baseball fans absent Although, this is not possible because there has to be at least 1 baseball fan absent. There isn't enough information to determine the number of students absent because there is more than 1 possibility with the given information. Finally, the possibilities for the number of students absent are: 14, 10 and 6
As more than half of the classmates had attended school that day, the total amount of students must be over 15 (30 / 2).
The maximum number of students would be 28, as at least one baseball fan and one non-baseball fan were absent.
The amount of baseball fans who attended school that day would have to be a multiple of four, since the question stated that 3/4 of the attendant class were baseball fans.
The options for the amount of baseball fans would be 12 and 24.
To find the amount of non-baseball fans corresponding with the amount of baseball fans, I would simply divide the amount of baseball fans by 4:
12 baseball fans - 4 non-baseball fans - 16 students total 24 baseball fans - 8 non-baseball fans - 32 students total
Only the first option is possible as 32 is larger than 28.
To verify:
16 is over 15, half of Mr. Fann's class. 12 is 3/4 of 16. 9 baseball fans were absent and 5 non-baseball fans were absent, leaving 14 absent students total.
Good job on the previous question Leo, Dan, and Leon D. See me please.
ReplyDeleteAlso, good luck on the next POTW!
ReplyDeleteI created an algebraic equation to solve this question and find out the students that were there which will make it easy to find the students absent.
ReplyDeleteLet b be a baseball fan
Let n be a non-baseball fan
Let t be the total
Let x be a number from 4 to 7
3/4=b/t
1/4=n/t
t=4x
Now we also know that the total number of students that were there that Morning is a multiple of 4 but over 15 and 28 or under. Therefore the total students can be 16, 20, 24, or 28. I complicated each fraction
16: 12/16 baseball fans and 4/16 non-baseball fans, 9 baseball fans absent and 5 non-baseball fans absent
20: 15/20 baseball fans and 5/20 non-baseball fans, 6 baseball fans absent and 4 non-baseball fans absent
24: 18/24 baseball fans and 6/24 non-baseball fans, 3 baseball fans absent and 3 non-baseball fans absent
28: 21/28 baseball fans and 7/28 non-baseball fans, 0 baseball fans absent and 2 non-baseball fans absent Although, this is not possible because there has to be at least 1 baseball fan absent.
There isn't enough information to determine the number of students absent because there is more than 1 possibility with the given information. Finally, the possibilities for the number of students absent are: 14, 10 and 6
As more than half of the classmates had attended school that day, the total amount of students must be over 15 (30 / 2).
ReplyDeleteThe maximum number of students would be 28, as at least one baseball fan and one non-baseball fan were absent.
The amount of baseball fans who attended school that day would have to be a multiple of four, since the question stated that 3/4 of the attendant class were baseball fans.
The options for the amount of baseball fans would be 12 and 24.
To find the amount of non-baseball fans corresponding with the amount of baseball fans, I would simply divide the amount of baseball fans by 4:
12 baseball fans - 4 non-baseball fans - 16 students total
24 baseball fans - 8 non-baseball fans - 32 students total
Only the first option is possible as 32 is larger than 28.
To verify:
16 is over 15, half of Mr. Fann's class.
12 is 3/4 of 16.
9 baseball fans were absent and 5 non-baseball fans were absent, leaving 14 absent students total.
14 of Mr. Fann's students were absent that day.