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 = [tex]3x+2[/tex] ...(i)
Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = [tex]4x-3[/tex] ...(ii)
Using (i) and (ii), we get
[tex]3x+2=4x-3[/tex]
Isolate variable terms.
[tex]2+3=4x-3x[/tex]
[tex]5=x[/tex]
Therefore, the required equation is [tex]3x+2=4x-3[/tex] and the values of x is 5. Each row is 5 meters long.
