document.write( "Question 1124516: The ratio of the number of tomato plants in Inessa’s garden to the number of tomato plants in Ralph’s garden was 5:6. After 1/2 of the tomato plants from Inessa’s garden were replanted into Ralph’s garden, Ralph’s garden had 850 tomato plants. How many tomato plants did Ralph’s garden have in the first place? \n" ); document.write( "
Algebra.Com's Answer #740852 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "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. \n" ); document.write( "In the replanting, half of the plants in Inessa's garden are mover to Ralph's garden. \n" ); document.write( "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. \n" ); document.write( "So Ralph started with 12x plants, and 5x plants (half of Inessa's 10x) were moved to his garden. \n" ); document.write( "That gives him 17x plants; and the number in his garden is 850. So 17x = 850; x = 50. \n" ); document.write( "Then the number originally in Ralph's garden is 12x = 600. \n" ); document.write( " |