Solving Math Puzzles: A Shirt and a Tie Together Cost 44.45
Math puzzles can be both fun and challenging. In this article, we will solve a specific problem: determining the total cost of buying two shirts and three ties when given the individual pricing conditions. This problem involves basic algebra and cost calculations, which are essential skills in daily life and for optimizing online marketing strategies.
Problem Statement
A shirt and a tie together cost $44.45. If the shirt costs $15.45 more than the tie, how much would two shirts and three ties cost in total?
Mathematical Representation
Let's define the variables:
- Let t represent the cost of the tie in dollars.
- Let s represent the cost of the shirt in dollars.
Setting Up the Equations
Based on the given conditions, we can set up the following equations:
The total cost of the shirt and tie together is $44.45:
t s 44.45
The shirt costs $15.45 more than the tie:
s t 15.45
Solving the Equations
We can substitute the second equation into the first equation to solve for t:
Substitute s in the first equation with t 15.45 from the second equation:
t (t 15.45) 44.45
Simplify the equation:
2t 15.45 44.45
Subtract 15.45 from both sides:
2t 44.45 - 15.45
Calculate the new equation:
2t 29.00
Divide both sides by 2 to find t:
t 29.00 / 2
Solve for t to get the cost of the tie:
t 14.50
Now, we can find the cost of the shirt using the second equation:
Substitute t with 14.50 in the second equation:
s 14.50 15.45
Solve for s to get the cost of the shirt:
s 29.95
So, the costs are:
Cost of one tie: $14.50
Cost of one shirt: $29.95
Calculating the Total Cost
To find the total cost for two shirts and three ties, we can use the following formula:
2 × 29.95 (for the shirts) 3 × 14.50 (for the ties)
First, let's calculate the cost for two shirts:
2 × 29.95 59.90
Next, calculate the cost for three ties:
3 × 14.50 43.50
Finally, add these amounts together:
59.90 43.50 103.40
Therefore, the total cost for two shirts and three ties is $103.40.
Application in SEO and Cost Calculations
Much like solving this math puzzle, understanding cost calculations and algebra can be crucial in SEO and online marketing. Precise calculations can help in optimizing budgets, understanding customer behavior, and improving website performance.