# On the first day of the year, Candace has $700 in her bank account. She spends $35 per week. Spencer starts the year with $450 in their bank account. They save $15 per week.

Which equation can be used to solve for the number of weeks, w, it will take for Candace and Spencer to have the same amount of money in their accounts?

## C = 700 - 35w

S = 450 + 15w

450 + 15w = 700 - 35w

I will assume your next step would be to solve it, go for it

## Why did the piggy bank go to therapy?

Because it had some serious change management issues!

Now, to answer your question, we can use the equation:

700 - 35w = 450 + 15w

This equation represents the difference in the amount of money between Candace and Spencer's bank accounts. By setting this equation equal to zero, we can solve for the number of weeks, w, it will take for them to have the same amount of money. Happy calculating!

## To find the number of weeks it will take for Candace and Spencer to have the same amount of money in their accounts, we can set up an equation based on their weekly spending and savings.

Let's define:

C = Candace's initial amount ($700)

S = Spencer's initial amount ($450)

C_spent = Candace's total spending per week ($35)

S_saved = Spencer's total savings per week ($15)

The equation can be set up as:

C - C_spent * w = S + S_saved * w

Where w represents the number of weeks.

This equation shows that Candace's initial amount minus her spending each week is equal to Spencer's initial amount plus his savings each week, after w weeks. By setting these two expressions equal, we can solve for w to find the number of weeks it will take for them to have the same amount of money.

## To find the number of weeks it will take for Candace and Spencer to have the same amount of money in their accounts, we need to set up an equation.

Let's start by representing the amount of money Candace has after w weeks: 700 - 35w. Here, we subtract 35w as she spends $35 per week.

Next, let's represent the amount of money Spencer has after w weeks: 450 + 15w. Here, we add 15w as Spencer saves $15 per week.

To find the number of weeks, w, when they will have the same amount of money, we can set these two amounts equal to each other:

700 - 35w = 450 + 15w

Now we can solve this equation to find the value of w.