SOLUTION: there are five times as many chickens as ducks. if there are 640 chickens more than ducks how many chickens and ducks are there in all?

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Question 850840: there are five times as many chickens as ducks. if there are 640 chickens more than ducks how many chickens and ducks are there in all?
Found 2 solutions by ewatrrr, JulietG:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the number of ducks

Question states***

 5x = x + 540

 4x = 540

  x = 135, number of ducks.   675, The number of chickens 

CHECKING our answer***

675  =  135 + 540

Wish You the Best in your Studies.

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
5D = C (there are five times as many chickens as ducks)
D + 640 = C (there are 640 chickens more than ducks)
.
Substitute the value of C in the second equation for the value of C in the first equation.
5D = C
5D = D + 640
Subtract D from each side
4D = 640
Divide each side by 4
D = 160
.
If there are 160 ducks, there must be 160+640 chickens, or 800.
Does that fit the first equation? 800 = 5*160? Yes, they are equal.
.
Ducks = 160
Chickens = 640
Chicken and ducks together = 640 + 160 = 800