Question

You have $22 in your bank account and deposit $11.50 each week. at the same time your cousin has $218 but is withdrawing $13 each week. when will your accounts have the same balance? (hint: write a system for the situation and solve)

a. at 7 weeks
b. at 8 weeks
c. at 9 weeks
d. at this rate, they will never be the same!

Answer 1

The accounts will have the same balance at 8 weeks.

Step-by-step explanation:

To find out when your accounts will have the same balance, we can set up a system of equations to represent the situation. Let's denote the number of weeks as x.

For your account, the balance is given by the equation: Balance = $22 + $11.50x

For your cousin's account, the balance is given by the equation: Balance = $218 - $13x

We need to find the value of x when the balances are equal. So, we set the two equations equal to each other:

$22 + $11.50x = $218 - $13x

Simplifying the equation, we get: $24.50x = $196

Dividing both sides of the equation by $24.50, we find that x = 8.

Therefore, the accounts will have the same balance at 8 weeks.