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 $3, Adam's wage is 2$/hour, and his wealth is $15, what is the maximum amount of ice cream that Adam can afford?

To determine the maximum amount of ice cream that Adam can afford, we need to consider both his wealth and the potential income he can earn.

### Step 1: Calculate Adam's potential income
Adam has 15 hours each day to spend on either work or leisure. His wage is $2 per hour. If he works all 15 hours, his total income from work would be:

\[
\text{Income from work} = 15 \, \text{hours} \times 2 \, \text{dollars/hour} = 30 \, \text{dollars}
\]

### Step 2: Calculate Adam's total available money
Adam's total available money is the sum of his initial wealth and his potential income from work:

\[
\text{Total available money} = 15 \, \text{dollars (wealth)} + 30 \, \text{dollars (income)} = 45 \, \text{dollars}
\]

### Step 3: Calculate the maximum amount of ice cream Adam can afford
The price of one ice cream is $3. The maximum amount of ice cream Adam can buy is:

\[
\text{Maximum ice cream} = \frac{45 \, \text{dollars}}{3 \, \text{dollars/ice cream}} = 15 \, \text{ice creams}
\]

Thus, **Adam can afford a maximum of 15 ice creams**.

Would you like further details or have any questions about the calculations?

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Here are five related questions to expand on this problem:
1. What if Adam decided to work only 10 hours a day? How much ice cream could he afford then?
2. How would the maximum ice cream Adam can afford change if his wage increased to $3 per hour?
3. If the price of ice cream increased to $5, how would that affect the number of ice creams Adam could buy?
4. How much leisure time does Adam have if he decides to buy only 10 ice creams?
5. If Adam has an additional expense of $10 each day, how many ice creams could he then afford?

**Tip:** When calculating maximum affordable quantities, always remember to consider both initial wealth and any potential earnings!

Explore how to determine the maximum amount of ice cream Adam can afford based on his daily wage, wealth, and the price of ice cream. This problem involves key arithmetic concepts like budgeting and linear equations, suitable for students in Grades 5-7.

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