Question 1124516
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With the given ratio of 5:6, let 5x be the number in Inessa's garden and 6x be the number in Ralph's garden.<br>
In the replanting, half of the plants in Inessa's garden are mover to Ralph's garden.<br>
Now we could say the number of plants moved from Inessa's garden to Ralph's garden is 2.5x, or (5/2)x.  But if we want to avoid working with fractions or decimals, we can redefine the original numbers in the two gardens as 10x and 12x.<br>
So Ralph started with 12x plants, and 5x plants (half of Inessa's 10x) were moved to his garden.<br>
That gives him 17x plants; and the number in his garden is 850.  So 17x = 850; x = 50.<br>
Then the number originally in Ralph's garden is 12x = 600.