Math
posted by Haven
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?

MathMate
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,...
Respond to this Question
Similar Questions

choir
i am taking intro to music what words are good to use to critique a choir concert 
math
The school choir members have collected 6,000 aluminum cans. If the recycling center pays $2 for 500 cans, how much money will the choir earn? 
Math
Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 48 students who take either band or choir or both. There are 9 students who take … 
math
Six out of 12 members of the school choir are boys. In simplest form, what fraction of the the choir is boys? 
math
A choir is singing at a festival. On the first night 12 choir members were absent,so the choir stood in 5 equal rows. On the second night only one member was absent, so they stood in 6 equal rows. the same number of people stood in … 
math(5th grade)
In the choir, 1/2 of the members are boys and 1/2 are girls. If 1/4 of the boys are5th graders what fraction of the whole choir is 5th grade boys? 
school
If 30 % of students in middle school 15 % of those in music are in choir what % of the whole school is in choir 
math
The number of girls in the choir is 4 times the number of boys in the choir. The total number of students in the choir is 60. How many girls are in the choir? 
English
1. She stood there, and she closed her eyes. 2. She stood there, closing her eyes. 3. She stood there, with her eyes closed. 4. While she stood there, she closed her eyes. 5. While she closed her eyes, she stood there.  … 
English
1. He stood there, and he closed his eyes. 12. He stood there, closing his eyes. 2. He stood there, and then he closed his eyes. 3. He stood there, and after that he closed his eyes. 4. He stood there, with his eyes closed. 5. He …