SOLUTION: Circle C Farm has 1,500 chickens. They separate the chickens into 6 different areas. How many chickens are in each area? Define a variable and write an equation. Solve the equation

Algebra ->  Equations -> SOLUTION: Circle C Farm has 1,500 chickens. They separate the chickens into 6 different areas. How many chickens are in each area? Define a variable and write an equation. Solve the equation      Log On


   



Question 1133281: Circle C Farm has 1,500 chickens. They separate the chickens into 6 different areas. How many chickens are in each area? Define a variable and write an equation. Solve the equation.
According to my son's Math book, the equation is a multiplication equation, as follows:
Let x = the number of chickens in each area;
6x = 1500; x = 250
Why is this not a division equation even though it says they " separate the chicken into 6 areas". Doesn’t separating the chicken translate to dividing?
Would greatly appreciate your help in understanding what in the word problem would help my son figure out that he needs to write a multiplication equation.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first recall that linear equation is of the form y=ax
in your case, y represents the number of chickens in each area, x represents the number of areas, coefficient a shows how many areas are there
since you are given that y=1500 and a=6, your equation is
1500=6x or
6x=1500.......Solve the equation for x
x=1500%2F6
x=250
------------------------------------
if book states this: Let x+= the number of chickens in each area;=> means "Define a variable"
6x+=+1500;=> given equation needed
x+=+250+=> given result
they just skipped the another steps which I did in solution above