SOLUTION: Hi In Bob's class the number of students with cavities is 6 more than the number without cavities. When 1/8 of the number of students with cavities was treated they totalled the

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Question 1179646: Hi
In Bob's class the number of students with cavities is 6 more than the number without cavities. When 1/8 of the number of students with cavities was treated they totalled the same number as the students without cavities. How many students of the original group have cavities and do not have cavities respectively.
Thanks

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
c = no. with cavities
n = no. without cavities
:
In Bob's class the number of students with cavities is 6 more than the number without cavities.
c = n + 6
When 1/8 of the number of students with cavities was treated they totalled the same number as the students without cavities.
c - 1%2F8c = n
7%2F8c = n
get rid of the denominator, mult by 8
7c = 8n
replace c with (n+6)
7(n+6) = = 8n
7n + 42 = 8n
42 = 8n - 7n
42 = n
:
How many students of the original group have cavities and do not have cavities respectively.
n = 42 do not have have cavities
and
42 + 6 = 48 had cavities originally
:
:
Check
7%2F8(48) = 42