Starla and Lewis start saving money every month. Starla has an initial balance of $100, and she deposits $15 every month in her account. Lewis has an initial balance of $65, and he deposits $20 every month in his account. After how many months will they will have the same balance in their accounts?

After 7 months they will have the same amount.

Explanation:

Consider after x months Starla and Lewis will have the same balance.

Given,

For Starla,

Initial balance = $100,

Additional deposit amount per month = $15,

So, the total balance after x months = initial balance + additional amount for x months = 100 + 15x,

For Lewis,

Initial balance = $65,

Additional deposit amount per month = $20,

So, the total balance after x months = 65 + 20x

Thus, after x months,

100 + 15x = 65 + 20x

100 + 15x - 65 = 20x (Subtract 65 both sides)

35 = 20x - 15x (Subtract 15x both sides)

35 = 5x

7 = x (Divide both sides by 5)

Hence, after 7 months, they will have the same balance in their accounts.