a farmer had twice as many ducks as chickens. After he had sold 413 ducks and another 19 ducks died, he had half as many ducks as chickens left. How many ducks did he have left?
2006-10-08 15:12:04 · 7 answers · asked by estela2829@sbcglobal.net 1 in Education & Reference ➔ Primary & Secondary Education
"Twice as many ducks as chickens" means:
2c=d because you need twice as many chickens to be the same as the number of ducks.
We know that 432 ducks left and that after they left, we only have half of the number of chickens.
d-432=c/2 or 2(d-432) = c
We know from above that d=2c, so let's substitute.
2 (2c-432) = c
4c - 864 = c
subtract 4c from each side
-864 = -3c
divide each side by -3
288=c
Since he had half as many ducks as chickens:
288/2=144
144 ducks left.
We can check this to see if our answer is correct. If there are 288 chickens, that means that there were twice as many, 576, ducks to start with. 432 ducks left the farm. 576-432=144.
2006-10-08 15:14:51 · answer #1 · answered by glurpy 7 · 1⤊ 0⤋
144
2006-10-09 05:23:45 · answer #2 · answered by sweetangel 2 · 0⤊ 0⤋
D=duck, C= chicken
a farmer has 2D.
2D-432=D
-2D= -2D
-432=-3D
-432/-3= D
D=144
He has 144 ducks
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2006-10-08 23:15:13 · answer #3 · answered by Esty S 1 · 0⤊ 0⤋
216 DUCKS LEFT.
2006-10-08 22:21:22 · answer #4 · answered by HADITDUN 5 · 0⤊ 1⤋
Yes. I can solve that.
2006-10-08 22:15:19 · answer #5 · answered by Anonymous · 0⤊ 1⤋
gee i dont know why dont u go ask him
2006-10-08 22:20:58 · answer #6 · answered by Dani A. 2 · 0⤊ 1⤋
umm...i think its 356
2006-10-08 22:23:21 · answer #7 · answered by me 2 · 0⤊ 1⤋