Math Problem Statement

At the neighborhood grocery, 55 pounds of steak cost dollar sign, 36, point, 5, 0$36.50. How much would it cost to buy 3, point, 93.9 pounds of steak?

Solution

To find out how much it would cost to buy 3.939 pounds of steak, we need to determine the price per pound and then multiply by the desired quantity of steak.

  1. First, find the price per pound: Price per pound=$36.5055pounds=0.6636dollars per pound\text{Price per pound} = \frac{\$36.50}{55 \, \text{pounds}} = 0.6636 \, \text{dollars per pound}

  2. Now, multiply the price per pound by the number of pounds you want to buy: Cost=0.6636×3.9392.614dollars\text{Cost} = 0.6636 \times 3.939 \approx 2.614 \, \text{dollars}

So, the cost of buying 3.939 pounds of steak is approximately $2.61.

Would you like further details or explanations?

Here are 5 related questions to think about:

  1. How would the price change if you bought twice as much steak?
  2. What would be the total cost if you bought 10 pounds of steak at this rate?
  3. How many pounds of steak can you buy for $20?
  4. If the price of steak increased by 10%, how much would 3.939 pounds cost?
  5. What would be the cost if you bought 1.5 pounds of steak instead?

Tip: Always check units when doing calculations involving weight and price to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Unit Rate
Proportions
Multiplication

Formulas

Price per pound = Total Price / Total Weight
Cost = Price per pound * Desired Weight

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 6-8