Math Problem Statement

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

Solution

To solve this, we can use a proportion based on the unit price (cost per pound) of the steak. Here's how:

  1. The cost of 5 pounds of steak is $36.50.

  2. The price per pound is: Price per pound=36.505=7.30dollars per pound\text{Price per pound} = \frac{36.50}{5} = 7.30 \, \text{dollars per pound}

  3. To find the cost of 3.93 pounds of steak, multiply the price per pound by 3.93: Cost of 3.93 pounds=7.30×3.93=28.689dollars\text{Cost of 3.93 pounds} = 7.30 \times 3.93 = 28.689 \, \text{dollars}

So, the cost of 3.93 pounds of steak is approximately $28.69.

Do you want more details or have any questions?

Here are some related questions to explore further:

  1. What would be the cost for 2.5 pounds of steak?
  2. How much would 10 pounds of steak cost at the same rate?
  3. If the cost per pound was $8.50, how much would 3 pounds of steak cost?
  4. How much would 3 pounds of steak cost if the price was reduced by 10%?
  5. How many pounds of steak can be bought with $50 at the same rate?

Tip: When solving proportion problems, always check for unit consistency (e.g., dollars per pound, pounds, etc.).

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Math Problem Analysis

Mathematical Concepts

Proportion
Unit Price
Multiplication

Formulas

Price per pound = Total cost / Weight
Cost of desired weight = Price per pound * Desired weight

Theorems

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Suitable Grade Level

Grades 5-7