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Please Please Please help me with this answer

Krystyn planted 54 tomato plants in equal rows. The number of plants in each row was 3 more than the number of rows. How many rows of tomato plants did Krystyn make?

User Dsum
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2 Answers

4 votes
The answer that u need is 6
User Richante
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Alright, lets gets tarted.

Suppose there are x rows of tomato plants Krystyn make.

Again suppose there are n plants in each row.

We could find total plants by multiplying number of plants in each row with number of rows.

Hence total number of plants will be =
x * n

But as per question, total number of plants are 54. It means


x * n = 54

Now, the number of plants in each row was 3 more than the number of rows means


n = x + 3

Putting this value of n in first equation we made


x * (x+3) = 54


x^(2) + 3x = 54

Subtracting 54 in both sides


x^(2) + 3x - 54 = 54 - 54


x^(2) + 3 x - 54 = 0

Factoring


(x-6)(x+9) = 0

Means x = 6 or x = -9

The number of rows can not be negaive.

Hence x = 6

It means number of rows of tomato plants will be 6. : Answer

Hope it will help :).

User Shtut
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