Question

This week, you took home \(\$ 96\) from your part-time job. You owe your mother 39 dollar. a. Estimate the amount of money that you will have after you pay your mother. b. Determine the actual amount of money you will have after you pay your mother.

Short answer

Question: Estimate and calculate the amount of money left after repaying the owed money to the mother, given that we currently have $96 and owe our mother $39. Answer: The estimated amount of money left after repaying the mother is $50, while the actual amount of money left is $57.

Step-by-step solution

Part a: Estimating the money left after repaying the mother

Since we currently have \(\$ 96\) and owe our mother \(\$ 39\), we can round these numbers to the nearest tens for easier calculations. We can round \(\$ 96\) down to \(\$ 90\) and round \(\$ 39\) up to \(\$ 40\). Then, by subtracting these rounded numbers, we can estimate how much money will be left: \( \$ 90 - \$ 40 = \$ 50\) So, the estimation for the money left after repaying the mother is \(\$ 50\).

Part b: Calculating the exact money left after repaying the mother

To find the exact amount of money left after repaying the mother, we can directly subtract the exact amount we owe her from the amount we have. We can write this as: \( \$ 96 - \$ 39 = \$ 57\) The actual amount of money we will have after repaying our mother is \(\$ 57\).