Problema Solution

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 beginning?

Answer provided by our tutors

let 'x' represent the number of units


5x = the number of tomato plants in Inessa's garden

6x = the number of tomato plants in Ralph's garden


1/2(5x) are added from Inessa's garden into Ralph's garden, giving a total of 850 tomato plants in Ralph's garden


(1/2)(5x)+6x=850

x=100


Ralph then had 6*100 = 600 tomato plants in the beginning