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 the tomato plants from inessa’s garden were replanted into ralph’s garden, his garden had 850 tomato plants. how many tomato plants did ralph’s garden have in the first place?

Inessa = X

Ralph = Y

By the given ratio X/Y = 5/6

Solve for X: X = 5/6 * Y

Now Inessa gives 1/2 of hers to Ralph, which then totals 850"

Y + 1/2X = 850

Replace x :

Y + 1/2 * 5/6 * Y = 850

SImplify:

Y + 5/12Y = 850

Multiply both sides by 12 to remove the fraction:

12Y + 5Y = 10200

Simplify:

17Y = 10200

Divide both sides by 17:

y = 10200 / 17

y = 600

Ralph originally had 600 plants.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!