SOLUTION: The number of Oranges is 3/5 the number of the papayas in the basket. If there are 16 more papayas than oranges in the basket, how many pieces of fruit of each type are they are in
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Question 1122047: The number of Oranges is 3/5 the number of the papayas in the basket. If there are 16 more papayas than oranges in the basket, how many pieces of fruit of each type are they are in the basket at first? Found 2 solutions by ikleyn, Alex.33:Answer by ikleyn(52781) (Show Source):
If "The number of Oranges is 3/5 the number of the papayas in the basket", as it is given,
then the number of papayas minus the number of oranges is of the number of papayas.
From the other side, this difference is 16.
Thus of papayas is 16. Then of papayas is 8; hence, the number of papayas is 5*8 = 40.
Then the number of oranges is = 3*8 = 24.
Answer. 24 oranges and 40 papayas.
You can put this solution on YOUR website! The number of papayas=p
The number of oranges=o
from the question we can conclude two relationships, which form a linear equation set:
o=3p/5 (1)
p=16+o (2)
And substitute o in (2) one by 3p/5 and get
p=40
Use (1):
o=24
And finally apply (2) again to confirm: 24+16=40. This shows we are going right.
