Question

On the first day of the year, you have $700 in your bank account. You spend $35 per week. Your friend starts the year with $450 in his bank account. He saves $15 per week.

Solve the equation 700 – 35w = 450 + 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts.

Answer 1

700-35w=450+15w
Add 35w to both sides and subtract 450 from each side to get
250=50w
Now divide 50 from both sides to get 5 weeks

Answer 2

700 - 35w = 450 + 15w
Let's flip this equation
450 + 15w = 700 - 35w
Now, add both sides by 35w
450 + 50w = 700
Subtract both sides by 450
50w = 250
Divide both sides by 50
w = 5

Thus, it will take 5 weeks for you an your friend to have the same amount of money.

Have an awesome day! :)