If the farm had a ratio of 3 chickens for every 8 eggs how many chickens would produce 40 eggs

3:8= 40/8=5, so 3 times 5-=15.The answer is 15

If the farm had a ratio of 3 chickens for every 8 eggs:

How many chickens would produce 40 eggs:

Ratio's :       3/8,    3   :   8

40/c   =   3/8

Solution by Cross Multiplication   For the equation:

40/c       =    3/8

The cross product is

40  *   8      =     c   *    3

Solving for c

c        =     40  *   8/3

Reducing:

c     =         106.66666666667

Solution by Proportion

Since the equation is an equality   If

40     ÷      3      =       13.3333333333333

Then it is true that

 c       ÷         8       =      13.33333333333

Solving for c

c      =       8  *   13.333333333333

320/3

Answer    c     =         106.66666666667

Equation 2:

40/8      =     3/x

Solution by Cross Multiplication   For the equation

40/8       =      3/ x

40/8        =        3x

The cross product is

40     *      x      =      8      *     3

40     *      x      =      8      *     3

Solving for x

x        =     8     *   3/ 40

and reducing

x       =       0.6

x       =       0.6

Solution by Proportion

Since the equation is an equality   If:

40 ÷ 3 = 13.333333333333

Then it is true that

8 ÷ x = 13.333333333333

Solving for x

x       =      8    ÷    13.333333333333

Answer     x      =    0.6

Hope that helps!!!                                : )