If Adam sleeps 9 hours a day this would leave him with 15 hours a day to either work or relax. If Adam has $40 of initial wealth and is paid $10 an hour and the price of ice cream is $2 a cup, what is the maximum amount of ice cream in cups that Adam can afford?

To determine the maximum number of cups of ice cream Adam can afford, let's break it down step by step.

### Step 1: Calculate Adam's potential earnings per day
- Adam has 15 hours a day for either work or relaxation.
- He earns $10 per hour of work.

If Adam works all 15 hours, his total earnings for the day would be:

\[
\text{Earnings} = 15 \text{ hours/day} \times 10 \text{ dollars/hour} = 150 \text{ dollars/day}
\]

### Step 2: Determine Adam's total wealth after working
- Adam starts with an initial wealth of $40.
- If he works all 15 hours, he adds $150 to his initial wealth.

\[
\text{Total wealth} = 40 \text{ dollars} + 150 \text{ dollars} = 190 \text{ dollars}
\]

### Step 3: Calculate the maximum number of cups of ice cream Adam can afford
- The price of ice cream is $2 per cup.

The maximum number of cups of ice cream Adam can buy is:

\[
\text{Maximum cups} = \frac{190 \text{ dollars}}{2 \text{ dollars/cup}} = 95 \text{ cups}
\]

### Final Answer:
Adam can afford a maximum of **95 cups of ice cream**.

Would you like more details on any part of this? 

Here are some follow-up questions to deepen understanding:
1. What happens if Adam works fewer than 15 hours a day?
2. How much ice cream could Adam afford if the price of ice cream changes?
3. If Adam wants to save a portion of his earnings, how many cups could he afford then?
4. How would Adam's maximum cups change if his wage was different?
5. What if Adam had additional expenses (e.g., rent or utilities)?

**Tip:** When working with similar problems, always ensure to account for all sources of income and expenditure.

Learn how to calculate the maximum number of ice cream cups Adam can afford given his $40 wealth, a $10/hour wage, and a $2 price per cup. This practical problem explores basic arithmetic and money management concepts, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation