SOLUTION: if 1/5 of a certain number is added to 51/5 the sum is the same as when 1/6 of the number is subtracted from 30 2/5 .find the number that is added

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Question 1098476: if 1/5 of a certain number is added to 51/5 the sum is the same as when 1/6 of the number is subtracted from 30 2/5 .find the number that is added
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if 1/5 of a certain number is added to 51/5 the sum is the same as when 1/6 of the number is subtracted from 30 2/5 .
find the number that is added
:
1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n
make the 3rd term an improper fraction
1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n
multiply equation by 30, cancel the denominators, resulting in:
6n + 6(51) = 6(152) - 5n
6n + 306 = 912 - 5n
6n + 5n = 912 - 306
11n = 606 is the number
n = 606/11
n = 551%2F11, an annoying number for sure.
:
:
See if that checks out using decimals, 551%2F11%7D+=+55.091%0D%0A%3A%0D%0A%7B%7B%7B1%2F5(55.091) + 51%2F5 = 152%2F5 - 1%2F6(55.091)
use decimals here
11.018 + 10.2 = 30.4 - 9.18
21.218 ~ 21.22, close enough to check our solution