SOLUTION: Hi a basket of oranges was shared among dora cathy and diane. Dora received half of the oranges and an extra 4 . Cathy received 40% of the remainder and another 10. If diana recei

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Question 1123827: Hi
a basket of oranges was shared among dora cathy and diane. Dora received half of the oranges and an extra 4 . Cathy received 40% of the remainder and another 10. If diana received 38 oranges, what was the original number of oranges in the basket.
thanks
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n, number of oranges in basket

Dora
n%2F2%2B4

Oranges remaining in basket
n-%28n%2F2%29-4
n%2F2-4


Cathy
-
How many remain in basket
%283%2F5%29%28n%2F2-4%29-10
%283n%2F10-12%2F5%29-10
3n%2F10-24%2F10-100%2F10
%283n-124%29%2F10


Dianna received 38 oranges, the last remaining in the basket.
3n-124=10%2A38
3n=380%2B124
3n=504
highlight%28n=168%29