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

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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) About Me  (Show Source):
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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
%28x-12%29%2F5 = %28x-1%29%2F6
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
%2867-12%29%2F5 = 11
%2867-1%29%2F6 = 11