Sunday

August 31, 2014

August 31, 2014

Posted by **chelsea** on Monday, May 6, 2013 at 11:04pm.

- math -
**Zaid**, Monday, May 6, 2013 at 11:07pmDivide each of those numbers by 50

- math -
**Zaid**, Monday, May 6, 2013 at 11:17pmThen you must balance it all out

So 50/.5=100

50/2.5=20

50/5=10

- math -
**Reiny**, Monday, May 6, 2013 at 11:33pmnumber of chickens --- x

number of cows ------- y

number of birds -------50-x-y

.5x + 2.5y + 5(50-x-y) = 50

times 10

5x + 25y + 50(50-x-y) = 500

5x + 25y + 2500 - 50x - 50y = 500

-45x -25y = -2000

9x + 5y = 400

we need integer solutions , where both x and y must be between 0 and 50

clearly (0,80) would be a solution to our equation, but not permitted since we only have a total of 50 animals.

BUT, I also know that the slope of the line is -9/5

so if we decrease the y by 9 and increase the x by 5 we get more integer solutions to our equation:

0 80

5 71

10 62

15 53**20 44**

25 35

30 26

35 17

40 8

45 -1

but remember that 50-x-x also has to be a positive whole number

the only combination that works is

x =40, y = 8

then 50-x-y = 2

**so we have 40 chickens**

8 cows

2 birds

check:

40+8+2 = 50

.5(40) + 2.5(8) +5(2) = 50

Yeahhh!!!

**Related Questions**

math question (counting) - When Josh was visiting his family’s farm, he saw that...

math - You have exactly 100 dollars to buy 100 animals you must buy at least one...

math - A farmer has both chickens and sheep on his farm. He has a total of 25 ...

Algebra 1 - a farmer raises chickens and cows. there are 34 animals in all. the ...

math - a farmer bought chickens, goats and sheep. He bought 100 animals and ...

Math - There are 38 animals at a farm.some are cows some are chickens all ...

Math - There are 38 animals at a farm .some are cows and some are chickens . All...

math - on a farm, there are some cows and some chickens. if the animals have a ...

Math - There are 18 animals in the barnyard. There are 50 legs. How many cows ...

math - write a system of two equation and use them to solve the following ...