Question

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?
let d represent the number of days. select the correct values to write an equation to represent the situation.
class 1: select choice + select choice d = class 2: select choice - select choice d
part b
solve the equation. after how many days will both classes have the same amount of money in their savings accounts?
____ day(s)

Explanation:

Step1: Define the amount for each class

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

• Class 1: Starts with $50 and deposits $5 per day. So the amount is \( 50 + 5d \).
• Class 2: Starts with $110 and withdraws $5 per day. So the amount is \( 110 - 5d \).

Step2: Set up the equation

We want to find when the amounts are equal:
\( 50 + 5d = 110 - 5d \)

Step3: 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