SOLUTION: 1512 guavas were placed in three containers, X, Y and Z, at a supermarket. The number of guavas in Container X is 2/7 of the total number of guavas. 190 guavas from Container Y a

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Question 1205383: 1512 guavas were placed in three containers, X, Y and Z, at a supermarket.
The number of guavas in Container X is 2/7 of the total number of guavas.
190 guavas from Container Y and 1/4 of the guavas in Container Z were sold.
The number of guavas left in Container Y was twice the number of guavas left in Container Z. How many guavas were there in Container Y at first?

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52906)   (Show Source): You can put this solution on YOUR website!
.
1512 guavas were placed in three containers, X, Y and Z, at a supermarket.
The number of guavas in Container X is 2/7 of the total number of guavas.
190 guavas from Container Y and 1/4 of the guavas in Container Z were sold.
The number of guavas left in Container Y was twice the number of guavas left in Container Z.
How many guavas were there in Container Y at first?
~~~~~~~~~~~~~~~~~~~~

From the condition, the number of guavas in both containers Y and Z altogether 

was  5/7 of 1512, or   = 1080 originally.


Let y be the number of guavas in container Y originally (the value under
the problem's question).  Then the number of guavas in container Y left is (y-190);
the number of guavas in container Z left is  .


So, we can write this equation

    y - 190 = .


Simplify and find y

    y - 190 = 

    2(y-190) = 3*(1080-y)

     2y - 380 = 3*1080 - 3y

     2y + 3y = 3240 + 380

        5y   = 3620

         y   = 3620/5 = 724.


ANSWER.  The number under the problem's question is 724.

Solved.



Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
CONTAINER      startQuantity       aftersomesellQuantity
    X          (2/7)1512            (2/7)1512
    Y              y                 y-190=2(3/4)z
    Z              z                 (3/4)z
TOTAL           1512







:



check:


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