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

, 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.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

1 answer

To solve the inequality \( 4x + 53 \geq 69 \), we will first isolate the variable \( x \).

  1. Subtract 53 from both sides: \[ 4x + 53 - 53 \geq 69 - 53 \] This simplifies to: \[ 4x \geq 16 \]

  2. Next, divide both sides by 4: \[ \frac{4x}{4} \geq \frac{16}{4} \] This gives us: \[ x \geq 4 \]

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