SOLUTION: 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 1 member was absent so the choir s

Question 310508: 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 1 member was absent so the choir stood in 6 equal rows. The same number of people stood in each row each night. How many members are in the choir?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On the first night 12 choir members were absent, so the choir stood in 5 equal rows.
On the second night only 1 member was absent so the choir stood in 6 equal rows.
The same number of people stood in each row each night.
How many members are in the choir?
:
Let x = no. in the choir
:
1st night in a row = 2nd night is a row
=
Cross multiply
6(x-12) = 5(x-1)
6x - 72 = 5x - 5
6x - 5x = -5 + 72
x = 67 members in the choir
:
:
Check by finding the no. in a row in each scenario
= 11
= 11
RELATED QUESTIONS
A choir is singing in a festival. On the first night 12 people were absent so they stood (answered by ankor@dixie-net.com)

In a church choir the ratio of males to females is 2:3. On one Sunday service ten male... (answered by Theo,Edwin McCravy)

It has been over 40 years since I have had algebra. Below is a problem my son needs to... (answered by richwmiller,scott8148)

A choir has 96 members this year.Last year, there were 120 members.What is the percent... (answered by josmiceli)

at a school choir concert 256 students are standing in rows. if the number of students... (answered by Alan3354)

There are 72 members of the show choir. There are 6 more boys than girls in the choir.... (answered by fractalier,ankor@dixie-net.com)

There are 18 girls in a school Choir. The ratio of girls to boys is 1 to 2. How many boys (answered by ikleyn)

I am having problems with this question. I'm not sure what equation to use or how to go... (answered by Theo)

A school choir has 80 students; 36 of them are in seventh grade. Also, 40 students in the (answered by Pcole88)