Question

Denver is planting strawberry seedlings in a new garden. He can plant 3 rows of a certain length with 2 seedlings leftover or 4 rows of the same length with 3 seedling spots left empty. What is the length, x, of each row in meters?
The equation used to solve for x is?
Each row is? meters long.

Answer 1

Given:

Denver can plant 3 rows of a certain length with 2 seedlings leftover or 4 rows of the same length with 3 seedling spots left empty.

To find:

The equation for the given problem and its solution.

Solution:

Let x be the length of each row.

Denver can plant 3 rows of a certain length with 2 seedlings leftover.

Total number of seeds he has = $3x+2$     ...(i)

Denver can plant 4 rows of the same length with 3 seedling spots left empty.

Total number of seeds he has = $4x-3$        ...(ii)

Using (i) and (ii), we get

$3x+2=4x-3$

Isolate variable terms.

$2+3=4x-3x$

$5=x$

Therefore, the required equation is $3x+2=4x-3$ and the values of x is 5. Each row is 5 meters long.