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Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs \$4 per ounce and garlic powder costs \$3 per ounce. The table shows the costs of the ingredients.



\begin{table}

\captionsetup{labelformat=empty}

\caption{Seasoning}


OuncesCost per OunceTotal

Oregano		44$x$

Garlic Powder		23$y$

Mixture		622




\end{table}



What is the value of $y$ in the table?


A2
B3
C4
D6

Verified Answer :

  • Multiply the amount of garlic powder (2 ounces) by its cost per ounce (\$3) to find the value of \(y\).
  • Calculate: \(y = 2 \times 3 = 6\).
  • Verify the mixture's total cost: \(x = 4 \times 4 = 16\), then \(x + y = 16 + 6 = 22\).
  • The final answer is \(\boxed{6}\).

Explanation

  1. Calculating the cost of garlic powder (y)

The problem asks for the total cost of the garlic powder, denoted as \(y\), used in a poultry seasoning mixture. We are given the amount of garlic powder (2 ounces) and its cost per ounce (\$3 per ounce). The total cost of an ingredient is calculated by multiplying the amount used by the cost per ounce. Therefore, the cost for the garlic powder is \(y = 2 \text{ ounces} \times \$3 \text{ per ounce}\). Calculating this product, we get \(y = \$6\).

  1. Verifying the total cost of the mixture

To verify our result, we calculate the total cost of the oregano (\(x\)) and check if the sum equals the mixture's total cost. The amount of oregano is 4 ounces and its cost is \$4 per ounce, so @@MATH_TOKEN_9@@. The mixture's total cost is given as \$22. Summing the costs of the ingredients, we find \(x + y = \$16 + \$6 = \$22\). This matches the total cost given in the table, confirming our result for \(y\). Thus, the value of \(y\) is 6.

Examples

Understanding how to calculate the total cost of individual components is a fundamental skill in everyday life, whether you are cooking, budgeting for groceries, or managing business expenses. For example, if you are buying different fruits for a salad and know the price per pound for each, you can easily calculate the cost of each fruit item and then find the total cost of the fruit salad. This helps you manage your money effectively and make informed purchasing decisions.

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