Question

Carson currently has a 1,250 dollars in his bank account and Emily has 1,400 in her bank account Carson deposits $27.50 per week Emily deposits $20 per week into her account after how many weeks will they have the same amount of money?

Answer 1

Carson and Emily will have the same amount of money in their bank accounts after 20 weeks. This is determined by setting up an equation with their respective starting balances and weekly deposit amounts and solving for the number of weeks.

Step-by-step explanation:

The question asks about the number of weeks it will take for Carson and Emily to have the same amount of money in their bank accounts given their current balances and weekly deposit rates.

To solve this, we set up an equation where Carson's starting balance plus his weekly deposits equals Emily's starting balance plus her weekly deposits.

Let x represent the number of weeks it takes for their account balances to be equal:

1250 + 27.5x = 1400 + 20x

Now, we solve for x:

27.5x - 20x = 1400 - 1250

7.5x = 150

x = 150 / 7.5

x = 20

It will take 20 weeks for Carson and Emily to have the same amount of money in their bank accounts.