Savings Account Balance Comparison

The video tutorial explains a savings problem involving Sophia and Arturo. Sophia starts with $640 and pays $30 monthly, while Arturo starts with $310 and saves $25 monthly. The goal is to determine when their savings will be equal. Variables are defined, equations are formulated, and the solution is found by solving the equation 640 - 30x = 310 + 25x. After solving, it is determined that in six months, both will have $460. The video concludes by verifying the solution through substitution.

What is the initial amount in Sophia's savings account?

• $500

• $460

• $640

• $310

How much does Arturo save each month from his job?

• $25

• $30

• $50

• $40

What does the variable 's' represent in the problem?

• Number of months

• Sophia's monthly payment

• Arturo's monthly savings

• Sophia's account balance

Which equation represents Sophia's account balance?

• s = 310 + 25x

• s = 310 - 25x

• s = 640 - 30x

• s = 640 + 30x

What is the equation used to find when Sophia and Arturo have the same balance?

• 640 - 30x = 310 + 25x

• 640 - 30x = 310 - 25x

• 640 + 30x = 310 + 25x

• 640 + 30x = 310 - 25x

What is the value of 'x' when Sophia and Arturo have the same balance?

• 5 months

• 7 months

• 4 months

• 6 months

What operation is performed to isolate 'x' in the equation?

• Multiplication

• Subtraction

• Addition

• Division

What is the result of dividing -330 by -55?

• 8

• 7

• 6

• 5

What is the common balance they both have after 6 months?

• $500

• $640

• $460

• $310

How do you verify the solution for the common balance?

• By substituting 'x' in both equations

• By checking only Sophia's equation

• By checking only Arturo's equation

• By recalculating the initial balances