What is the correct ratio for the problem regarding pretzels costing 2 for 50 cents?

Prepare for the TExES Core Subjects 4-8 Exam. Study with flashcards and multiple choice questions, each offering hints and explanations. Ace your test!

The correct choice involves establishing a proportional relationship between the cost of the pretzels and a larger quantity. In this scenario, when pretzels cost 2 for 50 cents, you can set up a ratio to determine how many pretzels can be bought for $3.00.

By using the ratio of the number of pretzels to the cost, you can express it as 2 pretzels being equivalent to 50 cents. To find out how many pretzels (x) can be bought for $3.00, you want to maintain the same ratio. Thus, the equation becomes:

2 pretzels / 0.50 dollars = x pretzels / 3.00 dollars.

This equation reflects that for every two pretzels you obtain at the price of 50 cents, you can also find out how many pretzels you can get at a higher price, in this case, $3.00.

This method allows you to calculate the ratio correctly, leading to the answer that reflects the cost per unit in a systematic way. This proportional reasoning is fundamental in figuring out comparisons in cost and quantity, which is essential in real-world applications like budgeting or grocery shopping.

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