Question

Real-world problem for the inequality: 40 + 100x > 120 + 29x.

Briana opened a savings account with an initial deposit of $100 and deposits $40 each month. Kumar opened a savings account on the same day with an initial deposit of $29 and deposits $120 each month. How many months will it take for Briana’s account to be greater than Kumar’s account?

Answer 1

It will take 2 months for Briana's account to be greater than Kumar's account.

Step-by-step explanation:

To solve this problem, we need to find the number of months it will take for Briana’s account to be greater than Kumar’s account. We can start by simplifying the inequality equation:

40 + 100x > 120 + 29x

Combining like terms, we get:

71x > 80

Next, divide both sides of the inequality by 71 to isolate x:

x > 1.129

Since we are talking about the number of months, x must be a whole number. So, we round up to 2.

Therefore, it will take 2 months for Briana’s account to be greater than Kumar’s account.