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

Algebra.Com
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): You can put this solution on YOUR website!
.
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.


Answer by Alex.33(110)   (Show Source): 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.
RELATED QUESTIONS

The ratio of the number of oranges to papayas in a basket is 3:5. After 1/4 of the orange (answered by josgarithmetic)
The ratio of oranges to papayas is 3:5.after 1/4 of the oranges and half of the papayas... (answered by htmentor)
The ratio of the number of papayas to the number of bananas in the basket is 4:5. If... (answered by Collinwilfixyouuprealnice)
Hi The ratio of the number of oranges to papayas is (answered by ikleyn)
Mr Tong has some guavas and papayas in two crates. In crate A, the number of guavas and... (answered by josmiceli)
Mr Tong has some guavas and papayas in two crates. In crate A, the number of guavas and... (answered by Theo)
there are 12 more apples than oranges in a basket of 36 apples and oranges. How many... (answered by josmiceli)
A grocery bag contains apples and oranges. There are 3 more apples than oranges. If 14... (answered by JulietG)
There are some oranges in a basket. By adding 8/5 of the total to the basket the new... (answered by ankor@dixie-net.com)