Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 17, 2024

Helena earns $\$ 4$ per kid for babysitting. She needs to make at least $\$ 69$ . Write the inequality $4x + 53 \geq 69$ to find the minimum number of kids she needs to babysit, where $x$ is the number of kids.

STEP 1

Assumptions
1. Helena receives a fixed amount of $53 for babysitting.<br />2. She also receives an additional$ 4 for each kid she babysits.
3. Helena wants to make at least $69 from babysitting this afternoon.<br />4. The inequality$ 4x + 53 \geq 69 $represents the situation, where$ x$ is the number of kids.

STEP 2

To solve the inequality for the number of kids Helena needs to babysit, we need to isolate the variable $x$ on one side of the inequality.
$4x + 53 \geq 69$

STEP 3

Subtract $53$ from both sides of the inequality to start isolating $x$ .
$4x + 53 - 53 \geq 69 - 53$

STEP 4

Simplify both sides of the inequality after subtraction.
$4x \geq 16$

STEP 5

Now, divide both sides of the inequality by $4$ to solve for $x$ .
$\frac{4x}{4} \geq \frac{16}{4}$

STEP 6

Simplify both sides of the inequality after division.
$x \geq 4$
Helena needs to babysit at least 4 kids to make at least $69 this afternoon.

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms