Murimi and naliaka both had each 840 tree seedlings.murimi planted equal nimber of seedlings per row in x rows while naliaka planted equal number of seedlings in (x+1)rows.the number of tree seedlings planted by murimi in rach row were 4 more than those planted by naliaka in each row.calculate the number of seedlings murimi planted in each row
I want the work out
To calculate the number of seedlings Murimi planted in each row, we can break down the information given in the question.
1. Let's assume that the number of seedlings Murimi planted in each row is represented by "y."
2. Murimi planted equal numbers of seedlings per row in x rows. Therefore, the total number of seedlings Murimi planted is given by the equation: Total seedlings planted by Murimi = y * x.
3. Naliaka planted an equal number of seedlings in (x+1) rows, with each row having 4 fewer seedlings than Murimi planted in each row.
4. The total number of seedlings Naliaka planted is given by the equation: Total seedlings planted by Naliaka = (y - 4) * (x + 1).
5. According to the question, both Murimi and Naliaka planted a total of 840 tree seedlings each. Therefore, we can set up the equation:
y * x = (y - 4) * (x + 1) = 840.
6. To solve this equation, we can simplify it:
xy = (y - 4)(x + 1)
xy = xy + y - 4x - 4
y - 4x - 4 = 0
y - 4x = 4.
7. Now we have two equations:
xy = 840
y - 4x = 4.
8. Solving these equations simultaneously, we can find the value of "y":
From the second equation, we can isolate "y":
y = 4x + 4.
Substituting this value into the first equation, we get:
x(4x + 4) = 840
4x^2 + 4x = 840
4x^2 + 4x - 840 = 0.
9. Now we have a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula.
10. Once we find the value(s) for "x," we can substitute it back into y = 4x + 4 to find the number of seedlings Murimi planted in each row.
You want two factors of 840 which differ by 4, and the other factors differ by 1.
840 = 14*60 = 15*56