Question

Please help me please

Yesterday, two friends went into a bank to open savings accounts. Ted started by putting $300 in his account, and he will deposit an additional $4 each week. Carly made no initial deposit, but she will add $16 more each week. In a few weeks, the friends will have the same account balance. How many weeks will that take?

Answer 1

To solve this problem, we can use algebraic equations. Let's say that the number of weeks it takes for Ted and Carly to have the same account balance is "w".

Ted's account balance after "w" weeks can be represented by:

300 + 4w

Carly's account balance after "w" weeks can be represented by:

16w

We want to find out when their account balances will be equal, so we can set these two equations equal to each other:

300 + 4w = 16w

Simplifying this equation, we get:

300 = 12w

Dividing both sides by 12, we get:

25 = w

Therefore, it will take 25 weeks for Ted and Carly to have the same account balance.