2)Jack works at a golf course and needs to ensure there are enough golf balls for each day's practice. If Jack starts with a stock of 50 golf balls and can use up to 30 golf balls per day, after how many days will Jack run out of golf balls if he uses the maximum allowed each day?

Question

Solve this inequality word problem showing your defined variable, inequality, inverse operations to solve, and final solution with units. Please format it simply.

Answer 1

Defined Variable: Let \( d \) represent the number of days Jack can use the golf balls.

Inequality: Jack starts with 50 golf balls and uses up to 30 golf balls each day. We can express this situation with the following inequality: \[ 50 - 30d \geq 0 \]

Inverse Operations to Solve:

1. Start by isolating the term with \( d \): \[ 50 \geq 30d \]

2. Divide both sides by 30: \[ \frac{50}{30} \geq d \]

3. Simplify the fraction: \[ \frac{5}{3} \geq d \] or \[ d \leq \frac{5}{3} \]

Final Solution with Units: The maximum number of whole days Jack can use the golf balls is: \[ d = 1 \text{ day} \]

So, Jack will run out of golf balls after 1 day of using the maximum allowed golf balls (30 per day).