SOLUTION: The ratio of oranges to papayas is 3:5.after 1/4 of the oranges and half of the papayas are eaten, there are 16 more papayas than orange s.how much fruit of each type was in beginn

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Question 1099240: The ratio of oranges to papayas is 3:5.after 1/4 of the oranges and half of the papayas are eaten, there are 16 more papayas than orange s.how much fruit of each type was in beginning.
Thanks

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
O/P = 3/5 -> O = (3/5)P
After consuming 1/4 of the oranges and 1/2 of the papayas, there are 16 more papayas than oranges left.
The remaining papayas - the remaining oranges = 16
P/2 - (3/4)O = 16
But O = (3/5)P
P/2 - (3/4)(3/5)P = 16
P/2 - (9/20)P = 16
P/20 = 16
P = 320
Thus O = (3/5)*320 = 192
So initially there were 192 oranges and 320 papayas