# Tutor profile: Joseph D.

## Questions

### Subject: Basic Math

Billy has 18 apples and 6 oranges that he wants to share with his friends, Julia and Michael. How can we split the apples and oranges so that each of the 3 friends has an equal number of oranges and apples?

This question is a word problem that tests the ability for student to use division to solve it. The first step in this problem is to identify the number of friends that will receive apples and oranges. This answer is given in the problem as 3. Now, it is possible to divide the number of apples and oranges by 3 to come to our final answer: Number of apples each friend gets: 18/3 = 6 Number of oranges each friend gets: 6/3 = 2 Thus, the final answer is that each friend gets 6 apples and 2 oranges.

### Subject: Accounting

A company has 100 million dollars in liabilities, 300 million dollars in assets, 50 million in Common Stock, and 100 million in Additional-Paid-in-Capital. If the company's only other equity item is Retained Earnings, what is the balance in the Retained Earnings account?

This question is a two step problem using the basic accounting formula: Assets = Liabilities + Equity First, we must use the equation to find the total value of the company's equity: Assets = 300 million Liabilities = 100 million Equity = ?? Assets = Liabilities + Equity 300 million = 100 million + Equity Equity = 200 million Now that we have the total value for Equity, we are able to solve for Retained Earnings using the other information given in the question: Equity = Common Stock + Additional-Paid-in-Capital + Retained Earnings 200 million = 50 million + 150 million + Retained Earnings Retained Earnings = 50 million

### Subject: Algebra

Sally wants to buy a new bicycle for $100. She currently has $20 saved for the bicycle and she makes $15 an hour mowing lawns in her neighborhood. Create an algebraic expression to show the relationship between the amount of hours Sally works and the total amount of money she will receive. Then, use your algebraic expression to answer the following questions: Will she be able to afford the new bicycle if she works 3 hours? What about if she works 6 hours?

In order to answer this question, the first step is to come up with an accurate algebraic expression for Sally's total money saved. The independent variable, x, is the number of hours Sally works. The dependent variable, y, is the total amount of money that Sally will be able to save. Don't forget that we also have a constant of $20 that Sally already has saved. With these inputs, we can come up with the following algebraic expression: y = 15x + 20 Using this expression, we can now solve the remaining questions: "Will she be able to afford the new bicycle if she works 3 hours?" We first substitute 3 hours for x and then we can solve the equation: y = 15*3 + 20 y= 45 + 20 y = 65 Since 65 is less than 100, Sally would not be able to purchase the new bicycle if she only works 3 hours. "What about if she works 6 hours?" We first substitute the 6 hours for x and then we can solve the equation: y = 15*6 + 20 y = 90 + 20 y = 110 Since 110 is more than 100, Sally would be able to purchase the new bicycle if she works 6 hours.

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