Solving Liza’s Ball Purchase Problem: A Comprehensive Guide for SEO

When facing a math problem like Liza's ball purchase scenario, understanding the process of solving it and its implications can help improve your SEO strategy. This guide will explore the problem in detail, providing a solution and explaining the keywords and equations used.

Understanding the Problem

In the scenario, Liza purchases a total of 50 balls. Some of these balls cost $0.80 each and the remainder cost $0.25 each. If the total amount spent is $18, we need to find how many balls of each type Liza bought.

Solving the Problem

To solve this problem, we can set up two equations. First, let's define the variables:

x is the number of balls costing $0.80 each. y is the number of balls costing $0.25 each.

The two equations are:

Total number of balls: x y 50 Total cost of the balls: 0.8x 0.25y 18.00

First, we solve for one variable in terms of the other. From the first equation, we can express y as:

y 50 - x

Next, we substitute y in the second equation:

0.8x 0.25(50 - x) 18.00

Now, distribute 0.25 in the equation:

0.8x 12.5 - 0.25x 18.00

Combine like terms:

0.55x 12.5 18.00

Subtract 12.5 from both sides:

0.55x 5.5

Solve for x by dividing both sides by 0.55:

x 10

Now that we find x, substitute it back into the equation for y:

y 50 - 10 40

Therefore, Liza bought 10 balls at $0.80 each and 40 balls at $0.25 each, which totals 50 balls and $18.

SEO Optimization Tips

To optimize the above math problem for search engines like Google, it is important to target specific keywords and phrases. The following keywords can help:

math problem ball purchase problem equation solving

Additionally, including relevant keywords in your content alongside detailed explanations and solutions can improve search engine rankings. Structuring your content with H1, H2, and H3 tags can also enhance readability and SEO.

Conclusion

Solving Liza's ball purchase problem demonstrates the importance of setting up and solving equations. By understanding and optimizing these types of problems, you can improve your content's relevance and visibility in search engine results.