Question

A farmer set out 600 tomato plants. The numþer

of plants in each row/ was 10 less than twice the
number of rows. How many plants were there in
each row?

Answer 1

Explanation:

Let's call the number of rows "x". The number of plants in each row would be 2x - 10. We know that the total number of plants is 600, so we can set up an equation:

x * (2x - 10) = 600

Expanding the left side:

x^2 + 10x - 600 = 0

We can solve for x using the quadratic formula:

x = (-10 ± √(10^2 - 4 * 1 * -600)) / 2 * 1

x = (-10 ± √(100 + 2400)) / 2

x = (-10 ± 50) / 2

x = 20 or -5 (but x cannot be negative, as the number of rows must be a positive integer)

So, there are 20 rows with 10 plants in each row. The number of plants in each row is 2x - 10 = 2 * 20 - 10 = 30.