Solving Math Word Problems for Everyday Budgeting

In our everyday lives, we often encounter situations where basic math word problems can help us make informed decisions, such as budgeting, shopping, and managing finances.

Let's take a closer look at a real-world scenario faced by Tina, who wanted to buy pencils and a pen. She spent a total of $18 on 3 pencils and 1 pen. However, the pen cost $6 more than each pencil. How much would she need to pay if she wanted to buy 6 pencils and 1 pen?

Understanding the Problem

First, let's break down the information given:

Tina spent $18 on 3 pencils and 1 pen. The pen cost $6 more than each pencil.

Solving the Problem Step-by-Step

We can set up the problem using algebra:

Let's denote the cost of one pencil as y. Therefore, the cost of the pen would be y 6.

The total cost for 3 pencils and 1 pen is given as $18. So, the equation becomes:

Solving the Equation

3y (y 6) 18

Combine like terms:

4y 6 18

Solve for y:

Subtract 6 from both sides of the equation:

4y 12

Divide both sides by 4:

y 3

This means one pencil costs $3.

The cost of the pen is y 6, which is 3 6 9.

Calculating the Total Cost for 6 Pencils and 1 Pen

Now, let's calculate the total cost if Tina wanted to buy 6 pencils and 1 pen:

6 pencils at $3 each: 6 × 3 18 1 pen at $9: 9 Total cost: 18 9 27

Adding a Real-Life Twist

However, in a real-life scenario, taxes might be added to the total cost. This would mean that the final amount Tina would have to pay could be higher than $27. It's always a good practice to include taxes when making financial decisions.

Conclusion

Math word problems like this one can be practical and useful in everyday situations. By solving these problems, we can improve our budgeting and financial management skills. Whether you're buying stationery or managing a larger budget, understanding the calculations can save you both time and money.

Additional Resources

For more practice and tips on solving math word problems, consider using online resources or seeking help from a tutor. Websites like Khan Academy, Mathway, and YouTube tutorials can be very helpful.