Q9. - Algebra 1

Question

Write and solve an equation to find how many weeks he needs to reach his goal.

Step-by-Step Solution

Answer

A total number of weeks =20.

Step 1. Given information.

Current balance in the bank = $1900

Goal balance = $2500

Deposits per week = $30

Step 2. Write the equation.

Consider the number of can be n.

The equation can be written as:

 $30n+1900=2500$

Step 3. Solve the equation.

The equation $30n+1900=2500$ can be written as in below:

$30n=2500-1900$

 Then,

$$\begin{gathered} 30n=600 \\ n=\frac{600}{30} \\ n=20 \end{gathered}$$

Step 4. Conclusion.

The equation is $12n+200=260$ and total number of weeks is 20.