Question

Navid now has $72 in her savings account. each week she will save $24. after how many weeks will navid have a total savings of $288?

a) write an equation you can use to solve the problem.
b) solve the equation.

Answer 1

To find out after how many weeks Navid will have a total savings of $288, an equation is formed: $72 + $24w = $288. Solving this, Navid will reach her savings goal after 9 weeks.

Step-by-step explanation:

The student's question involves solving a basic arithmetic problem related to saving money over time. To find out after how many weeks Navid will have a total savings of $288, an equation needs to be written and solved.

Part A: Writing the Equation

The equation to represent Navid's savings over time can be expressed as:

Initial Savings + (Weekly Savings × Number of Weeks) = Total Savings

In this case, Navid starts with $72 and saves $24 each week. Let 'w' represent the number of weeks. Then, the equation becomes:

$72 + $24w = $288

Part B: Solving the Equation

To solve for 'w', subtract $72 from both sides of the equation:

$24w = $288 - $72

$24w = $216

Now, divide both sides by $24 to find the value of 'w':

w = $216 / $24

w = 9

Navid will have a total savings of $288 after 9 weeks.