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!!! : )
