Final answer:
The mathematics question asks us to determine the individual cost of hats purchased for a volleyball team, given the total expenditure and the cost of additional items (team cups). By creating and solving a simple equation, we find that each hat costs $17.70.
Step-by-step explanation:
The question involves calculating the cost of items purchased in a given scenario, which is a common problem in Mathematics, specifically within the field of algebra or arithmetic. In this case, a dad buys items for 10 players on a volleyball team, and we need to calculate the cost of these items. Given that each team cup costs $4.60 and the dad spends a total of $223 for hats and team cups, we can set up an equation to find the cost of one hat.
First, we find the total cost of the team cups by multiplying the number of players, which is 10, by the cost of one team cup, $4.60:
• 10 players × $4.60/team cup = $46.00 spent on team cups.
Next, we subtract the total cost of the team cups from the total amount spent to find the total cost of the hats:
• $223.00 Total - $46.00 spent on team cups = $177.00 spent on hats.
Now, to find the cost of one hat, we divide the total cost of the hats by the number of hats (which is equal to the number of players, 10):
• $177.00 spent on hats ÷ 10 hats = $17.70 per hat.
This process demonstrates the use of linear equations and basic arithmetic operations to solve for an unknown variable in a real-world context.