For word problems, assign variables so you can express them into equations. For this problem, the unknown is the number of each animals. Let's assign x to the number of cows and y to the number of chickens. It is mentioned that there are a total of 28 animals. Therefore, we can formulate the first independent equation to be
x + y = 28 ---> eqn 1
Next, we know that the total number of legs are 74. Since each cow has 4 legs and each chicken has 2 legs, the second independent equation we could formulate is:
4x + 2y = 74 ---> eqn 2
Now, we have a system of linear equations. There are two unknowns and two independent equations. Thus, the system is solvable. Let's use the method of substituting to solve this. Rearrange eqn 1 such that x is a function of y. Let's denote this as eqn 1'.
For the answer to the question in a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employer, the margin of error for the population proportion is ± seventeen (17) or <span>± 5.67%. </span>