A departmental store bought some grapes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of grapes in the two stacks if the store broke even after having sold all of its grapes?	Choose the correct option:  A) 1:6  B) 1:4  C) 2:3  D) 1:2  E) 2:5
To avoid fractions, assume there were 45 mangoes. So the store bought them for 45/5= 
<gadget id="calculator">45/5</gadget>
<output>9</output>
9 dollars.   To break even, the selling price should be $9 too. 45 mangoes can be split into 1:4, 2:3 or 1:2. So let's try these.   45 split in the ratio 1:4 gives 9 and 36.   9 grapes split into 3 grapes each will give $3.   36 grapes split into 6 grapes each will give $6.   They add up to $9 so we have hit the right answer.   Answer (1:4)
<result>B</result>
A departmental store bought some grapes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of grapes in the two stacks if the store broke even after having sold all of its grapes?