please answer in detail?

Question

10% of the goats in a farm died in a flood.40% of the remaining died due to disease.If 594 goats were alive,find the original number of goats in the farm.

Answer 1

MY ANSWER
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(DETAIL)

Answer 2

So....

let x be the original # goats

original # goats,
minus the 10% of the original that died due to flood,
then minus the 40% of the remaining (100%-10%=90%, 90% of the original) that died due to disease,
equals 594 goats
x - 0.1x - (0.9x)(0.4) = 594

gather the x's
x (1 - 0.1 - 0.9*0.4) = 594

simplify
x (1-0.1-0.36) = 594
x (0.54) = 594

divide both sides by 0.54
x = 594 / 0.54

x = 1100

Therefore the original number of goats was 1100. This number makes sense because 1100 is larger than 594 (the number left after some had died).

Answer 3

X * .9 = Y
Y * .6 = 594

Therefore 594 / .6 = 990

990 / .9 = 1100

There were originally 1100 goats on that unlucky farm. If I were the farm owner, I'd sell the whole place fast, or at least file a claim with my insurance company.

And the answer IS 1100, not 1222. That would have left you with 659.88 goats, and I'd hate to see the .88 goat after that mess. The answer above was ALMOST right, but there was one problem. The equation should look like this:

594/.6 = X * .9, not X/.9

That works out this way:

594/.6 = X * .9
(594/.6) / .9 = X
990 / .9 = X
1100 = X (not 1222)

Answer 4

let x = original number of goats
x = 594 + 0.1x + 0.4(0.9x)
x = 594 + 0.46x
0.54x = 594
x = 1100

There were originally 1100 goats on the farm. 10%, or 110, died in a flood, leaving 990 goats alive. 40% of the remainder, or 396, died of disease, leaving 594 goats still alive.

Answer 5

work backwards..

" 40% of e remaining" means that
60% of the remaining = 594
thus, the no. of remaining goats = (100/ 60) x 594=990

"10% of e goats died" means that
90% = 990
thus, the original number of goats = (100/90) x 990 = 1100

Answer 6

594 goats is 60% of 90% of the original number goats. You can get the total pretty easily by working backwards from here.

Using cross multiplication, You can solve 594/.6 = x/.9

Solving for that x allows you to know that 90% of the original goats = 1100 goats. You can repeat the same procedure and you'll see the total number of goats was 1222.

Answer 7

x is the starting number

If 10% died, then 90% remained. Again, when 40% died, then 60% remained, so

60% of 90% of x = 594

.6*.9*x = 594

x = 594/(.6*.9) = 1100? Sorry, no calculator. Doing the arithematic in my head.

Answer 8

10% +40% =50% =half of the goats died

594+594=1188 goats total were on the farm

Answer 9

Homework.....Let's do a similar problem.

If the losses were 20% and 30% and the number left over was 560, you would take 560 and divide by (1-.30)=.7 to get 800 goats before the 30% decrease. Now divide by (1-.20)=.8 to get the original number of goats to be 1000.

Now you should be able to do your problem.

Answer 10

Let x = the original number of goats
(Already converting the percents to decimals)
x - 0.1x - (0.9x)(0.4) = 594
x - 0.1x - 0.36x = 594
0.54x = 594
x = 594/0.54
x = 1100
The original number of goats in the farm was 1100.

Answer 11

it is 1188 beacuse if have died u should add the left numbers:
594+594=1188