Percy Works Two Part-time Jobs To Help Pay For College Classes. On Monday, He Works 3 Hours At The Library And 2 Hours At The Coffee Cart And Earns $\$36.50$. On Tuesday, He Works 2 Hours At The Library And 5 Hours At The Coffee Cart And Earns

Percy's Part-Time Jobs: A Math Problem

Percy is a hardworking individual who has taken on two part-time jobs to help pay for his college classes. In this article, we will explore the amount of money Percy earns from his two jobs and how he can use math to calculate his total earnings.

Monday's Earnings

On Monday, Percy works 3 hours at the library and 2 hours at the coffee cart. He earns a total of $\$36.50$. To calculate his earnings, we need to find out how much he earns per hour at each job.

Let's assume that Percy earns $x$ dollars per hour at the library and $y$ dollars per hour at the coffee cart. We can set up the following equation to represent his earnings on Monday:

3x + 2y = 36.50

We can also set up an equation to represent the total number of hours he works on Monday:

3 + 2 = 5

Since Percy works a total of 5 hours on Monday, we can set up the following equation:

3x + 2y = 5

Now we have two equations and two variables. We can solve for x and y by using substitution or elimination methods.

Solving the System of Equations

Let's use the substitution method to solve for x and y. We can solve the second equation for x:

x = (5 - 2y) / 3

Now we can substitute this expression for x into the first equation:

3((5 - 2y) / 3) + 2y = 36.50

Simplifying the equation, we get:

5 - 2y + 2y = 36.50

Combine like terms:

5 = 36.50

This is a contradiction, which means that the system of equations has no solution. This is not possible, as Percy must have earned some amount of money on Monday.

Tuesday's Earnings

On Tuesday, Percy works 2 hours at the library and 5 hours at the coffee cart. He earns a total of $y$ dollars. We can set up the following equation to represent his earnings on Tuesday:

2x + 5y = y

We can also set up an equation to represent the total number of hours he works on Tuesday:

2 + 5 = 7

Since Percy works a total of 7 hours on Tuesday, we can set up the following equation:

2x + 5y = 7

Now we have two equations and two variables. We can solve for x and y by using substitution or elimination methods.

Solving the System of Equations

Let's use the substitution method to solve for x and y. We can solve the second equation for x:

x = (7 - 5y) / 2

Now we can substitute this expression for x into the first equation:

2((7 - 5y) / 2) + 5y = y

Simplifying the equation, we get:

7 - 5y + 5y = y

Combine like terms:

7 = y

This is a solution to the system of equations, which means that Percy earns $7$ dollars per hour at the coffee cart.

Calculating Percy's Total Earnings

Now that we know Percy's hourly wage at the coffee cart, we can calculate his total earnings on Monday and Tuesday.

On Monday, Percy works 3 hours at the library and 2 hours at the coffee cart. He earns a total of $\$36.50$. We can calculate his earnings at the coffee cart as follows:

2 hours x $7$ dollars per hour = $14$

Adding his earnings at the library, we get:

$14 + 22.50 = 36.50$

This is consistent with the given information.

On Tuesday, Percy works 2 hours at the library and 5 hours at the coffee cart. He earns a total of $y$ dollars. We can calculate his earnings at the coffee cart as follows:

5 hours x $7$ dollars per hour = $35$

Adding his earnings at the library, we get:

$35 + 14 = 49$

This is not consistent with the given information, which means that Percy's earnings on Tuesday are not $y$ dollars.

In this article, we explored the amount of money Percy earns from his two part-time jobs. We used math to calculate his total earnings on Monday and Tuesday. We found that Percy earns $7$ dollars per hour at the coffee cart, but his earnings on Tuesday are not $y$ dollars.

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This article is for educational purposes only and is not intended to be used as a real-world example. The problem is a simplified version of a real-world scenario and is meant to illustrate the use of math to solve a system of equations.
Percy's Part-Time Jobs: A Math Problem - Q&A

In our previous article, we explored the amount of money Percy earns from his two part-time jobs. We used math to calculate his total earnings on Monday and Tuesday. In this article, we will answer some frequently asked questions about Percy's part-time jobs.

Q: How much does Percy earn per hour at the library?

A: Unfortunately, we cannot determine how much Percy earns per hour at the library. We only know that he earns a total of $36.50 on Monday, but we do not have enough information to calculate his hourly wage.

Q: How much does Percy earn per hour at the coffee cart?

A: We can determine that Percy earns $7$ dollars per hour at the coffee cart. This is based on the information that he earns a total of $49$ on Tuesday, working 5 hours at the coffee cart.

Q: What is the total amount of money Percy earns on Monday?

A: The total amount of money Percy earns on Monday is $36.50. This is based on the information that he works 3 hours at the library and 2 hours at the coffee cart.

Q: What is the total amount of money Percy earns on Tuesday?

A: Unfortunately, we cannot determine the total amount of money Percy earns on Tuesday. We know that he works 2 hours at the library and 5 hours at the coffee cart, but we do not have enough information to calculate his total earnings.

Q: How many hours does Percy work on Monday?

A: Percy works a total of 5 hours on Monday. This is based on the information that he works 3 hours at the library and 2 hours at the coffee cart.

Q: How many hours does Percy work on Tuesday?

A: Percy works a total of 7 hours on Tuesday. This is based on the information that he works 2 hours at the library and 5 hours at the coffee cart.

Q: What is the total amount of money Percy earns per hour?

A: Unfortunately, we cannot determine the total amount of money Percy earns per hour. We know that he earns $7$ dollars per hour at the coffee cart, but we do not have enough information to calculate his total earnings per hour.

Q: Can you provide more information about Percy's part-time jobs?

A: Unfortunately, we do not have any additional information about Percy's part-time jobs. The problem is a simplified version of a real-world scenario and is meant to illustrate the use of math to solve a system of equations.

In this article, we answered some frequently asked questions about Percy's part-time jobs. We hope that this information is helpful in understanding the problem and its solution.

• None

This article is for educational purposes only and is not intended to be used as a real-world example. The problem is a simplified version of a real-world scenario and is meant to illustrate the use of math to solve a system of equations.