Helena will receive $53 plus $4 per kid for babysitting this afternoon. She is hoping to make at least $69. How many kids does she need to babysit? She writes the inequality 4x+53≥69

Question

, where x
equals the number of kids, to help figure this out. Solve her inequality. Use the letter x
as your variable and write your x
term first.

Answer 1

To solve the inequality \( 4x + 53 \geq 69 \), where \( x \) represents the number of kids, we can follow these steps:

1. Subtract 53 from both sides:

   \[ 4x + 53 - 53 \geq 69 - 53 \]

   This simplifies to:

   \[ 4x \geq 16 \]

2. Divide both sides by 4:

   \[ \frac{4x}{4} \geq \frac{16}{4} \]

   This simplifies to:

   \[ x \geq 4 \]

Thus, Helena needs to babysit at least 4 kids to make at least $69.