SOLUTION: Apples are collected in a basket for six people. One-third, one-fourth, one-eighth and one-fifth are given to four people, respectively. The fifth person gets ten apples with one a

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Question 124115: Apples are collected in a basket for six people. One-third, one-fourth, one-eighth and one-fifth are given to four people, respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket.


Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
Let the total number of apples that the basket contains = "x"

Lets write the data as given in the problem.

%281%2F3%29x+%2B+%281%2F4%29x+%2B+%281%2F8%29x+%2B+%281%2F5%29x+ + 10 + 1 = x

Adding all the like terms we get:

%2840x+%2B+30x+%2B+15x+%2B+24x%29%2F120 + 11 = x

==> %28109x%2F120%29+ + 11 = x

==> 11 = x - %28109x%2F120%29

==> 11 = %28120x+-+109x%29%2F120


==> 11 = 11x%2F120

==> x = 120

Hence there are 120 apples in the basket.

Thus the solution


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