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

To find the value of "w", you need to isolate/get the variable "w" by itself in the equation:

700 - 35w = 450 + 15w      Add 35w on both sides to get "w" on one side of the equation

700 - 35w + 35w = 450 + 15w + 35w

700 = 450 + 50w        Subtract 450 on both sides

700 - 450 = 450 - 450 + 50w

250 = 50w      Divide 50 on both sides to get "w" by itself

$\frac{250}{50}=\frac{50w}{50}$

5 = w           It will take 5 weeks for you and your friend to have the same amount of money in your accounts

Answer 2

Answer:

5 weeks

Step-by-step explanation:

700 – 35w = 450 + 15w

700 - 450 -35W + 35W = 450 -450 + 15W + 35W

250 = 50W

w = 5