# MATH

posted by wan

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

1. Reiny

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

## Similar Questions

1. ### geometry

At Millock Highschool, there are 1,000 lockers and 1,000 students. The first day of school, all the students line up outside of the school and enter one at a time. The first student touches evry locker,the second student touches evry …

A new high school has just been completed. There are 1,000 lockers in the long hall of the school and they have been numbered from 1 to 1,000. During lunch, the 1,000 students decide to try an experiment. - The first student, student …
3. ### math

2. Mrs. young has her 18 students seated in a circle. They are evenly spaced and numbered in order. which student is directly opposite these three students?
4. ### math

a school is divided into 4 houses,P,Q,R and S.On sports day,the 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 …
5. ### Math Help

Suppose that each student in stat. has a 9% chance of missing class on any given day and that student attendance is independent. In a stat. class of 20 students, find the probability that: 1) no student is absent 2) one student is …

Suppose that each student in stat. has a 9% chance of missing class on any given day and that student attendance is independent. In a stat. class of 20 students, find the probability that: 1) no student is absent =15.16 2) one student …
7. ### Math

Mary is passing out school supplies to students in the class. She gives colored pencils to every second student, markers to every third student, and crayons to every fifth student. The second student received all three. Which student …
8. ### English

There are 7 classes for first year students. Each class is composed of about 30 students. Emily is a student of Class 1-2. One of his classmates who went to the same elementary school asks: Which class are you in?
9. ### help algebra??

stillwater junior high divides students into teams taught by a group of teachers the table shows the number of students in each team. imgur . com/x7kghII (picture of student numbers) The principle uses a computer to randomly select …
10. ### Math

Every few days a student at a school will receive a souvenir such as a pencil or shirt. Every 24th day a student receives a souvenier. Every 56th day a student receives a souveiner and every 64th day a student receives a souvenier. …

More Similar Questions