Question

Nicki's bank account has negative balance of $95 so she deposits $5 per dayKelly's bank account has a negative balance of $40 she deposits $4 per day. At how many days will Nicki's bank account have at least as much money as Kelly's ?

Answer 1

To find the number of days at which Nicki's bank account will have at least as much money as Kelly's, we can set up an equation using their daily deposits and initial balances. By solving the equation, we find that it will take at least 11 days for Nicki's bank account to have as much money as Kelly's.

Step-by-step explanation:

To determine at how many days Nicki's bank account will have at least as much money as Kelly's, we can set up an equation to represent their balances over time.

Nicki deposits $5 per day into her bank account, starting with a negative balance of $95. Let x represent the number of days. Then, Nicki's balance can be represented as:

Balance = -95 + 5x

Kelly deposits $4 per day into her bank account, starting with a negative balance of $40. Let y represent the number of days. Then, Kelly's balance can be represented as:

Balance = -40 + 4y

To find the number of days at which Nicki's balance is at least as much as Kelly's, we can set up an inequality:

-95 + 5x ≥ -40 + 4y

Simplifying the inequality:

5x - 4y ≥ 55

Now, we can solve for x. Let's assume that y = 0. Substitute this value into the inequality and solve for x:

5x - 4(0) ≥ 55

5x ≥ 55

x ≥ 11

Therefore, at least after 11 days, Nicki's bank account will have as much money as Kelly's.