SOLUTION: the sum of the numerator and the denominator of a fraction is equal to 7 .four times the numerator is 8 less than 5 times the denominator . find the fraction?

Question 185604: the sum of the numerator and the denominator of a fraction is equal to 7 .four times the numerator is 8 less than 5 times the denominator . find the fraction?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the sum of the numerator and the denominator of a fraction is equal to 7
n + d = 7
or
d = (7-n); use for substitution
:
four times the numerator is 8 less than 5 times the denominator
4n = 5d - 8
:
Substitute (7-n) for d in the above equation
4n = 5(7-n) - 8
4n = 35 - 5n - 8
4n + 5n = 35 - 8
9n = 27
n =
n = 3
then
d = 7 - 3 = 4:
:
is the fraction
:
:
Check solution in the statement,
"four times the numerator is 8 less than 5 times the denominator"
4(3) = 5(4) - 8

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