Solve 25a-45=10a+51 | Microsoft Math Solver

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Answer:Step-by-step explanation:A small company wants to give raises to their 5 employees. They have 10,000 available to distribute. Imagine you are in charge of deciding how the raises should be determined.\n\nWhat are some variables you should consider?\nDescribe mathematically different methods to distribute the raises.\nWhat information do you need to compute the raises for each employee?\nMake up the information you need to compute specific raises for 2 different methods and apply them to the situation. Compute the specific dollar mount each employee receives as a raise.\nChoose one of you methods that you think is most fair and construct an argument that supports your decision.\nIM Commentary\nThis is foremost a mathematical modeling task. The task very specifically asks to discuss the variables that could be important in finding a mathematical method for determining raises. This step is often neglected in textbook problems but it is not easy and not at all obvious to students.\n\nThere are many factors that go into giving raises: Does everybody get the same raise or do different people get different raises? And if everybody gets the same raise, what does that mean? Do they are get the same dollar amount or do they all get the same percent raise?\n\nThe matter of fairness will certainly come up in this task. But what does that mean? New questions may come up: Does every employee work full time or do some of them work part time?\n\nThe instructor may choose to have students ask for information and then supply this information. For example: Students may ask for the salary of each employee and if they are full time or part time (whatever that may mean). Employees might have different education (HS, college, post-graduate degree) and they may have different seniority.\n\nSolution\nSome variables to consider are:\nWhat is the salary of each employee?\nHow many hours a week do they work? Are they full time or part time?\nWhat is their education?\nWhat is their position? (clerical staff, manager etc.)\nHow long have they been working at the company?\nThere are many different methods.\nMethod 1: Each person gets the same raise.\nMethod 2: Each person gets the same percent raise based on their salary.\nMethod 3: This is a slight variation on Method 1 - If some employees are part time and others are full time, every person gets the same raise per hour of work. For example, if one person works 40 hour and another person works 20 hours, then the first person gets twice as much money as the second person.\nFor each method we need different information.\nFor Method 1 we don't need any additional information. Each person gets a ...

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25a-45-10a=51

Subtract 10a from both sides.

15a-45=51

Combine 25a and -10a to get 15a.

15a=51+45

Add 45 to both sides.

15a=96

Add 51 and 45 to get 96.

a=\frac{96}{15}

Divide both sides by 15.

a=\frac{32}{5}

Reduce the fraction \frac{96}{15} to lowest terms by extracting and canceling out 3.

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