Question

Write the inequality for the word problem.

Lea needs at least $240 to buy new headphones. She has already saved $30. She
earns $14 per car that she washes. How many cars does Lea need to wash to buy the
headphones?

Answer 1

To buy the headphones, Lea needs to wash at least 15 cars.

Step-by-step explanation:

To find out how many cars Lea needs to wash in order to buy the headphones, we can set up an inequality equation.

Let x represent the number of cars that Lea needs to wash.

The amount of money Lea has saved, $30, plus the amount of money she earns by washing x cars, $14x, should be greater than or equal to the cost of the headphones, $240.

To write this as an inequality, we can set up the equation:

$30 + $14x ≥ $240

Now, we can solve for x.

First, subtract $30 from both sides:

$14x ≥ $210

Next, divide both sides by $14:

x ≥ 15

So, Lea needs to wash at least 15 cars to buy the headphones.

Learn more about Inequality in math