Question 124115
Let the total number of apples that the basket contains = "x"


Lets write the data as given in the problem.


{{{(1/3)x + (1/4)x + (1/8)x + (1/5)x }}} + 10 + 1 = x 


Adding all the like terms we get: 


{{{(40x + 30x + 15x + 24x)/120}}} + 11 =  x


==> {{{(109x/120) }}} + 11 = x


==> 11 = x - {{{(109x/120)}}} 


==> 11 = {{{(120x - 109x)/120}}} 



==> 11 = {{{11x/120}}}


==> x = 120 


Hence there are 120 apples in the basket.


Thus the solution



Regards