How to Solve a Math Problem Involving Stamps and Envelopes

Solving math problems like the one involving the number of stamps in each envelope can be a fun way to test and improve your skills in basic arithmetic and algebra. This particular problem involves finding out the total number of stamps and then dividing them equally among a specified number of envelopes.

Understanding the Problem

The problem at hand is as follows: Lorna has 50 stamps, which is 5}{9} the number of stamps that Susan has. Thalia has 4 stamps. When all these stamps are placed in 8 envelopes of equal numbers, how many stamps are placed in each envelope?

Step-by-Step Solution

Step 1: Determine the Number of Stamps Susan Has

Since Lorna has 50 stamps, which is 5}{9} the number of stamps Susan has, we can set up the following equation to find out how many stamps Susan has:

Lorna's stamps 5}{9} Susan's stamps

50 5}{9} x

To solve for x, multiply both sides of the equation by 9}{5}:

x 50 * 9}{5} 90 stamps

Step 2: Add Thalia's Stamps

Thalia has 4 stamps. Now, we add the total number of stamps:

Total stamps Lorna's stamps Susan's stamps Thalia's stamps

Total stamps 50 90 4

Total stamps 144 stamps

Step 3: Distribute Stamps Equally Among Envelopes

Now that we have the total number of stamps, we need to divide them equally among 8 envelopes:

Number of stamps per envelope Total stamps}{Number of envelopes}

Number of stamps per envelope 144}{8}

Number of stamps per envelope 18

Conclusion

By following these steps, we can determine that each envelope contains 18 stamps. This type of problem helps in strengthening your skills in fractions, arithmetic operations, and algebraic reasoning.

Related Questions

1. How many stamps does Susan have?

2. What is the total number of stamps when Lorna, Susan, and Thalia's stamps are combined?

3. How are the stamps distributed among the envelopes?

Additional Tips

1. Always read the problem carefully to identify what is being asked.

2. Break down the problem into smaller, manageable parts.

3. Use algebraic equations to represent the relationships between the quantities mentioned in the problem.

4. Double-check your calculations to ensure accuracy.