Question

Tim and josh each have a savings account at a bank. each month, tim deposits $200 and josh deposits $150. if tim's current account balance is $2,500 and josh's current account balance is $900, in how many months will tim's balance be twice the balance of josh's? (assume neither one withdraws any money during these months.)

Answer 1

It will take 7 months for Tim's balance to be twice the balance of Josh's.

Step-by-step explanation:

To find out how many months it will take for Tim's balance to be twice the balance of Josh's, we can set up an equation.

Let's assume it takes x months for Tim's balance to be twice the balance of Josh's.

Tim's balance equation: $2,500 + $200x

Josh's balance equation: $900 + $150x

Setting Tim's balance equation equal to twice Josh's balance equation:

$2,500 + $200x = 2($900 + $150x)

Now we can solve for x:

$2,500 + $200x = $1,800 + $300x

$200x - $300x = $1,800 - $2,500

$-100x = -$700

x = 7

Therefore, it will take 7 months for Tim's balance to be twice the balance of Josh's.