Question

Abby's laptop costs $575. Joe's laptop costs $850. Abby makes payment of $25 each week to pay off the cost of the laptop. Joe is making payments of $50 each week. In how many weeks will they owe the same amount on their laptops?

Answer 1

Abby and Joe will owe the same amount on their laptops after 15 weeks.

Explanation:

To determine the number of weeks it takes for Abby and Joe to owe the same amount on their laptops, we can set up an equation based on their weekly payments. Let A represent Abby's laptop cost, J represent Joe's laptop cost, aₓ represent Abby's weekly payment, jₓ represent Joe's weekly payment, and w represent the number of weeks.

The equation for Abby's total payment after w weeks is given by A = aₓ * w, and for Joe, it is J = jₓ * w. To find when they owe the same amount, we set A = J and solve for w. Given the values, A = 575, J = 850, aₓ = 25, and jₓ = 50, the equation becomes 25w = 50w, and solving for w, we get w = 15.

Therefore, Abby and Joe will owe the same amount on their laptops after 15 weeks of making weekly payments. This result is obtained by equating the total payments for each person and solving for the number of weeks required for the amounts to be equal.

In summary, the calculation involves understanding the relationship between the weekly payments and the total cost of the laptops for both individuals. The solution indicates the point at which Abby and Joe will have paid off the same amount on their respective laptops.

Answer 2

By setting up an equation to solve for the number of weeks when Abby and Joe's remaining amounts owed on their laptops are equal, it's found that after 11 weeks, they will owe the same amount.

Step-by-step explanation:

To find out in how many weeks Abby and Joe will owe the same amount on their laptops, we need to set up an equation where the total amount owed by Abby after a certain number of weeks is equal to the total amount owed by Joe.

Let's denote the number of weeks as w. Abby's laptop costs $575, and she pays $25 each week. So, after w weeks, Abby's remaining amount owed is $575 - $25w.

Joe's laptop costs $850, and he makes weekly payments of $50. So, after w weeks, Joe's remaining amount owed is $850 - $50w.

The equation to find the number of weeks when they will owe the same amount is:

$575 - $25w = $850 - $50w

By solving this equation, we get:

• $25w = $850 - $575
• $25w = $275
• w = $275 / $25
• w = 11 weeks

Therefore, after 11 weeks, both Abby and Joe will owe the same amount on their laptops.