10 of them fail so 10 of them get 0 and no points to there GPA
#1: 214 tickets split 9 ways does not work out to an integer number. Nobody wants 2/3 of a ticket, right?
So the trick here is to determine the first multiple of 9 greater than 214.
Note that 214/9 = 23.8. No good. Not an integer.
Multiply 23 by 9; we get 207. Multiply 24 by 9; we get 216.
So, given that we have 214 tickets already, we need 2 more, to make 216.
Check: Is 216 divisible by 9 without a remainder? Yes. Then each of the 9 students will get 24 tickets.
The rest of the problems are somewhat similar to this one.
See whether you can do the next one, #2.
If you'd share your results, I'd be happy to comment on what you've done.
Answer:
a)
Lowell: 4 counselors
Fairview: 9 counselors
b)
2 new counselors
Step-by-step explanation:
How many counselors should be assigned to each school using Hamilton's method?
Number of students
Lowell: 3584
Fairview: 6816
Total number of students: 10400
Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800
<u>Temporal assignment</u>
3584/800 = 4 + 0.48 ==> 4 counselors for Lowell
6816/800 = 8 + 0.52 ==> 8 counselors for Fairview
There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.
<u>Final assignment</u>
Lowell: 4 counselors
Fairview: 9 counselors
The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school
1824/800 = 2 + 0.28
<em>Two new counselors should be hired.</em>
With the decimal points, the first digit after the decimal starts out as tenths, and numbers above 5 are rounded up, so keeping those 2 facts in mind the answer would be
11.36
