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 + 15wLet's flip this equation450 + 15w = 700 - 35wNow, add both sides by 35w450 + 50w = 700Subtract both sides by 45050w = 250Divide both sides by 50w = 5
Thus, it will take 5 weeks for you an your friend to have the same amount of money.

Answer 2

5weeks
Good! Since you want to find when both of you have the same amount of money, you can set the two expressions representing the money equal to each other. This gives the equation $700 – $35 per week • weeks = $450 + $15 per week • weeks. Solving the equation, you find that you will have the same amount of money in 5 weeks.