SOLUTION: Mr Tong has some guavas and papayas in two crates. In crate A, the number of guavas and papayas are in the ratio of 5:3. In crate B, the number of guavas is 4/9 the number of papa

Question 890566: Mr Tong has some guavas and papayas in two crates. In crate A, the number of guavas and papayas are in the ratio of 5:3. In crate B, the number of guavas is 4/9 the number of papayas. Mr Tong transfers half of the guavas from crate A to crate B. The number of fruits in crate A becomes 308 and the ratio of the number of guavas to the number of papayas in crate B becomes 5:6.
(a) How many guavas have been transferred from crate A to crate B?
(b) What is the number of fruits in crate B after the transfer?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of guavas in crate A
Let = number of papayas in crate A
Let = number of guavas in crate B
Let = number of papayas in crate B
----------------------------------------
(1)
(2)
(2)
-------------------------
After transfer:
guavas in crate A
guavas in crate B
------------------------------------
fruits in crate A
(3)
-------------------------------
(4)
-------------------------------
(3)
and, from (1):
(1)
(1)
(1)
By substitution:
(3)
(3)
(3)
(3)
(3)
---------------------
(2)
(2)
And, after transfer:
(4)
(4)
(4)
(4)
Substitute (2) into (4)
(4)
(4)
(4)
(4)
(4)
--------------------

-------------------
(a) 140 guavas were transferred to crate B
-------------------
(4)
(4)
(4)
(4)
(4)
---------------------
After the transfer,

--------------------------------
(b) There are 660 fruits in crate B
check:
(1)
(1)
(1)
(1)
and
(3)
(3)
(3)
OK

RELATED QUESTIONS
Mr Tong has some guavas and papayas in two crates. In crate A, the number of guavas and... (answered by Theo)

The ratio of oranges to papayas is 3:5.after 1/4 of the oranges and half of the papayas... (answered by htmentor)

1512 guavas were placed in three containers, X, Y and Z, at a supermarket. The number of (answered by ikleyn,josgarithmetic)

Andie had a total of 240 pomelos and guavas in his shop. After he sold 50% of the pomelos (answered by ankor@dixie-net.com)

A person can buy 3 papayas and 15 guavas for the coast 5 apple. If the cost of a papaya... (answered by Fombitz)

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 the number of papayas to the number of bananas in the basket is 4:5. If... (answered by Collinwilfixyouuprealnice)

The number of Oranges is 3/5 the number of the papayas in the basket. If there are 16... (answered by ikleyn,Alex.33)

A grocer paid $360 for some crates of fruit. Four crates spoiled and have to be thrown... (answered by mananth)