SOLUTION: three fifths of a number is equal to twice the number minus sixty-three hundredths. What is the number?

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Question 1076196: three fifths of a number is equal to twice the number minus sixty-three hundredths. What is the number?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
three fifths of a number is equal to twice the number minus sixty-three hundredths.
3%2F5n = 2n - 63%2F100
get rid of those annoying denominators, multiply 100
100*3%2F5n = 100(2n) - 100*63%2F100
Cancel the denominators
20(3n) = 200n - 63
60n - 200n = -63
-140n = -63
n = -63/-140
same as
n = 63//140 reduces to 9%2F20
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Check this
3%2F5(9%2F20) = 2(9%2F20) - 63%2F100
27%2F100 = 18%2F20 - 63%2F100
27%2F100 = 90%2F100 - 63%2F100