Question

there are 288 plants in a nursery. the number of plants in one row is double the number of rows. find the number of rows. responses

Answer 1

There are 12 rows and 24 plants in each one.

Explanation:

Total numbers of plants (T) = 288

The numbers of plants in one row = p

The numbers of rows = n

It says:

The number of plants in one row (p)

is (=)

double the number of rows. (2*n)

Then:

p = 2n

To know the total number of plants we must multiply the number of rows by the number of plants in each row, like this:

Total numebers of plants = plants in one row * numbers of rows

T = p * n

288 = pn

We have a system:

`\left \{ {{p=2n} \atop {288 = pn}} \right.`

288 = pn

288 = (2n) * n

288 = 2n²

2n² = 288

`n^2=(288)/(2) \\\\n^2=144\\\\√(n^2)=√(144) \\n = \pm 12\\`

The number of columns can only be a positive number, so we eliminate the number -12, and say the number of columns is 12.

n = 12

p = 2n

p = 2(12)

p = 24

There are 12 rows and 24 plants in each one