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?

600 tomato plants

Ralph had 600 tomato plants in the beginning.

Step-by-step explanation:

Consider the provided information.

let x is the number of units.

The number of tomato plants in Inessa's garden is 5x

The number of tomato plants in Ralph's garden is 6x

It is given that half of Inessa's tomato plants are taken from her garden and replanted into Ralph's garden.

Therefore,

1/2 * (5x)

After replanted Ralph's garden had 850 tomato plants.

Therefore,

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

5x + 12x = 1700

17x = 1700

x = 100

The number of tomato plants in Ralph's garden is 6x.

Substitute the value of x in 6x.

6 (100) = 600

Hence, Ralph had 600 tomato plants in the beginning.