Homework Help: MATH

Posted by wan on Wednesday, November 14, 2012 at 9:35pm.

A SCHOOL IS DIVIDED INTO 4 HOUSES P,Q,R,S. ON SPORTS DAY,STUDENTS LINE UP SO THAT A STUDENT FROM P IS FIRST IN LINE,THEN A STUDENT FROM Q THEN A STUDENT FROM R THEN A STUDENT FROM S THEN A STUDENT FROM P AND SO ON WITH SAME ORDER REPEATING .FROM WHAT HOUSE WILL THE 66TH STUDENT COME? PLEAE EXPLAIN HOW OU WORK IT OUT,THANKS

MATH - Reiny, Wednesday, November 14, 2012 at 10:29pm
House P has students numbers
1 5 9 13 17 ........ (4n-3)
House Q has students numbers
2 6 10 14 ...... (4n-2)
etc

4n-3 = 66
4n = 69 --> no whole number solution

4n-2 = 66
4n = 68
n = 17 ----- Yeah
The 66th student is in house Q

or

make 4 columns
P...Q...R....S
1 .. 2 .. 2 .. 4
5 .. 6 .. 7 .. 8
9 .. 10 11 12
13 14 15 16
17 18 19 20
...
65 66 67 68

for P -- remainder of 1 when divided by 4
for Q -- remainder of 2 when divided by 4 ---- 66
for R -- remainder of 3 when divided by 4

Answer this Question

Related Questions

math - a school is divided into 4 houses,P,Q,R and S.On sports day,the students ...
English - I forgot to include these other questions. I'm going to arrange ...
english - I have to write a compare contrast essay does this sound ok? One of ...
geometry - At Millock Highschool, there are 1,000 lockers and 1,000 students. ...
comparing fractions - at Morris Elementarhy there are 45 students in each grade...
AE,, this right?>(revised) - In any given multicultural classroom, what ...
Math - Two hundred four students go to after school care at Ming's school. ...
algebra - the new school has exactly 1000 lockers and 1000 students. on the ...
9th grade - A new high school has just been completed. There are 1,000 lockers ...
algebra - the new school has exactly 1000 lockers and 1000 students. on the ...

For Further Reading

First Name:
School Subject:
Answer: