SOLUTION: Half of the cows are grazing grass .Three-fourth of the remaining are sleeping and 9 cows are drinking water from the pond.Find the total number of cows.

Question 477893: Half of the cows are grazing grass .Three-fourth of the remaining are sleeping and 9 cows are drinking water from the pond.Find the total number of cows.
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!

Set C as the total number of cows. Set G as the grazing cows, S as the sleeping cows, and D as the drinking cows. Set up the equation like so;

Total numbers of cows=all grazing, sleeping, and drinking cows.

Half the total cows are grazing:

Three fourths of the REMAINING cows are sleeping

9 cows are drinking from the pond

Plug all these answers into the original equation and get

Now simplify:

Combine all the C's on both sides:

Now multiply both sides by 8:

Answer: 72 cows
To check, plug in 72 for C.
There are 72 cows, if half of them are grazing, then 36 are grazing. If three-fourths of the rest (36 more) are sleeping, then 27 are sleeping, which leaves 9 drinking.
RELATED QUESTIONS
half of a herd of deer are grazing in the field and three-fourths of the remaining are... (answered by rfer)

A grazing land can feed a certain number of cows in one year (365days). If the number of... (answered by josgarithmetic)

Suppose there are 100 cows, and 6/10 of the cows are spotted. If the rest are brown, how (answered by jim_thompson5910)

? is There are 9 cows and 4 pins, I have to get the 9 cows in the 3 pins with out... (answered by CubeyThePenguin)

There are 20 animals in the farm consisting of cows and chickens. If there are 56 legs in (answered by lynnlo)

9/10 of the number of cows is the same as 4/5 the number of sheeps. If there are 225... (answered by josmiceli)

There are 18 animals in the barnyard. Some are chickens and some are cows. I counted 50... (answered by Nate)

In farmer Jack's field, it takes ten cows twenty days to eat all the grass. If fifteen... (answered by ankor@dixie-net.com)

If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will (answered by josmiceli)