Question

Edmond has $45 in his saving account. He wants to purchase a computer that costs $768. He starts to babysit for his cousin and gets paid $90/week. He plans to spend some money and deposit $75/week in his account. Define a variable and write an equation and solve to find how many months it takes for him to buy the computer. Assume that every month has 4 weeks.

Answer 1

It will take Edmond approximately 2.41 months to save enough money to purchase the $768 computer by depositing $75 per week from his babysitting job.

Step-by-step explanation:

Edmond wants to purchase a computer costing $768, and he has $45 in his savings account. By babysitting, he earns $90/week and plans to deposit $75 of it into his savings each week. To find out how many months it will take for Edmond to save enough money for the computer, we can set up the following equation:

Let's define the variable x to represent the number of weeks. The equation for Edmond's savings is:

Initial Savings + (Money saved per week × Number of weeks) = Total cost of the computer

$45 + $75x = $768

To solve for x, we subtract $45 from both sides:

$75x = $768 - $45

$75x = $723

Now we divide both sides by $75:

x = $723 / $75

x = 9.64

Since there are 4 weeks in a month, the number of months Edmond needs to save is:

Number of weeks / 4 = Number of months

9.64 / 4 ≈ 2.41

So it will take Edmond approximately 2.41 months to save enough money for the computer.