### Home > INT1 > Chapter 3 > Lesson 3.2.2 > Problem3-93

3-93.

Write and solve an equation to represent the given situation. Be sure to define your variable.

Samantha currently has $\1500$ in the bank and is spending $\35$ per week. How many weeks will it take until her account is worth only $\915$

Think of the situation as Samantha having $\1500$ minus $\35$ times the number of weeks she has been spending. Use $x$ to represent the number of weeks she has been spending.

You want to know when she will have $\915$ left, so set your expression equal to that amount. Then solve for $x$.

$1500−35x=915$

$16\frac{5}{7}$

$16$ weeks and $5$ days