Say Adam sleeps 9 hours a day leaving him 15 hours each day to spend on either work or leisure, if the price of ice cream is $2, Adam's wage is 12$/hour, and his wealth is $10, what is the maximum amount of hours Adam can spend on leisure if he chooses to buy 17 cups of ice cream ?


To solve this problem, let's break it down step by step.

### Given:
- Adam sleeps 9 hours a day, leaving him 15 hours for work or leisure.
- The price of ice cream = $2 per cup.
- Adam's wage = $12 per hour.
- Adam's wealth = $10.
- Adam wants to buy 17 cups of ice cream.

### Step 1: Calculate the total cost of 17 cups of ice cream.
\[ \text{Total cost} = 17 \times 2 = 34 \text{ dollars} \]

### Step 2: Determine how much money Adam needs to earn through work.
Adam's current wealth is $10, but he needs $34 for the ice cream.
\[ \text{Money needed} = 34 - 10 = 24 \text{ dollars} \]

### Step 3: Calculate the number of hours Adam needs to work to earn $24.
\[ \text{Hours needed to work} = \frac{24 \text{ dollars}}{12 \text{ dollars/hour}} = 2 \text{ hours} \]

### Step 4: Calculate the maximum hours Adam can spend on leisure.
Adam has 15 hours available each day. If he works for 2 hours to earn enough money for the ice cream:
\[ \text{Hours available for leisure} = 15 - 2 = 13 \text{ hours} \]

### Conclusion:
The maximum number of hours Adam can spend on leisure if he buys 17 cups of ice cream is **13 hours**.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What would happen to Adam's leisure time if the price of ice cream increased?
2. How much leisure time would Adam have if he only wanted 10 cups of ice cream?
3. What if Adam's wage was only $8 per hour—how would that affect his leisure time?
4. How much additional wealth would Adam need to avoid working at all?
5. What is the impact on Adam's leisure time if he had to work a fixed number of hours each day?

**Tip:** Always calculate the total cost first when dealing with a budget and spending scenario; this helps in determining the work needed to afford the expense.

Say Adam sleeps 9 hours a day leaving him 15 hours each day to spend on either work or leisure, if the price of ice cream is $2, Adam's wage is 12$/hour, and his wealth is $10, what is the maximum amount of hours Adam can spend on leisure if he chooses to buy 17 cups of ice cream?

Discover how to calculate the maximum leisure time Adam can enjoy after budgeting for 17 cups of ice cream. This problem involves basic arithmetic, budgeting, and linear equations, making it perfect for students in Grades 5-7. Learn how to manage time and money efficiently.

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