Danny is saving $8 each week. he earns an extra $20 by cleaning his uncle's car. Write the inequality to show how to find how many weeks will he need to save in order to save at least $100?

Answer 1

Let x represent the number of weeks Danny needs to save.

The amount saved each week is $8, so the total amount saved in x weeks is 8x dollars.

By cleaning his uncle's car, Danny earns an extra $20, so the total amount earned by cleaning his uncle's car in x weeks is 20x dollars.

The total amount saved in x weeks (including the money saved each week and the money earned by cleaning his uncle's car) is 8x + 20x = 28x dollars.

The inequality to find how many weeks Danny needs to save in order to save at least $100 is 28x ≥ 100.