Homework Help: Math

Posted by Haven on Tuesday, May 24, 2011 at 9:08pm.

A choir is performing for the school fall festival. On the first night 12 choir members were missing so they stood in 5 equal rows. On the sencond night, 1 member was missing so they stood in 6 even rows. How many choir members are there?

Math - MathMate, Tuesday, May 24, 2011 at 9:26pm
Let N=number of choir members.
Then for the first night,
N=5m+12
for the second night,
N=6n+1

We look for the smallest number which when divided by 5 gives a remainder of 2, and when divided by 6 gives a remainder of 1.

Possible values:
N=17,22,27,32,37,42,47,52,57,62,67,72,...
N=7,13,19,25,31,37,43,49,55,61,67,72
So the minimum number of choir members is 37. Other possibilities are 67,97,127,...

Answer this Question

Related Questions

choir - i am taking intro to music what words are good to use to critique a ...
Math - A choir has 6,000 cans and the recycling center offers $2 for 500 cans. ...
math - The ratio of boys to girls in a school choir is 4:3. There are 6 more ...
math !!!! :O - The ratio of boys to girls in a school choir is 4:3. There are 6...
math - The ratio of boys to girls in a school choir is 4:3. There are 6 more ...
Math - There are 45 choir members going to the recital. Each van can carry 8 ...
W.history - Has anybody read Lord of The Flies?? Yes. Many of us have read Lord ...
physics - In a church choir loft, two parallel walls are 5.70 m apart. The ...
math - pls help. There are three times as many girls than boys in a school ...
math - PLS help There are 3 times as many girls as boys in a school choir. What...

For Further Reading

First Name:
School Subject:
Answer: