Question

Your aunt lends you \(\$ 175\) to buy a guitar. She will decrease the amount you owe by \(\$ 25\) for each day you help her by doing odd jobs. What is the change in the amount you owe your aunt after helping her out for 5 days? How much do you still owe her?

Short answer

The change in the amount owed after helping your aunt for 5 days is \$125, meaning you managed to decrease your debt by this much. After these 5 days, you still owe your aunt \$50.

Step-by-step solution

Calculate the total reduction

Firstly, calculate how much the owed amount decreases by in 5 days. This can be computed by taking the daily decrease amount (\$25) and multiplying it by the number of days worked (5). So the calculation would be \(25 \times 5 = \$125\).

Determine the remaining debt

Next, find out how much money is still owed. To do this, subtract the total reduction calculated in the first step from the original amount owed (\$175). The formula for this calculation would be \(175 - 125 = \$50\).

Analyze the result

The result of step 2 indicates the total amount that is still owed after 5 days of work. Thus, after helping your aunt for 5 days, you would still owe her \$50.