Question

1. two classes at liberty middle school are setting up imaginary banks for an economics project. class 1 has $50 in a savings account and makes a $5 deposit each day. class 2 has $110 in a savings account and makes a $5 withdrawal each day. after how many days will both classes have the same amount of money in their savings accounts?

Explanation:

Step1: Define Variables

Let \( d \) be the number of days.

Step2: Write Equations for Each Class

For Class 1: Initial amount is $50, and they deposit $5 each day. So the amount \( A_1 = 50 + 5d \).
For Class 2: Initial amount is $110, and they withdraw $5 each day. So the amount \( A_2 = 110 - 5d \).

Step3: Set Equations Equal

We want to find when \( A_1 = A_2 \), so:

$$ 50 + 5d = 110 - 5d $$

Step4: Solve for \( d \)

Add \( 5d \) to both sides:

$$ 50 + 10d = 110 $$

Subtract 50 from both sides:

$$ 10d = 60 $$

Divide both sides by 10:

$$ d = 6 $$

Answer:

6