Math Problem Statement

solve

Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent if necessary.

Solution

To find the stand with the least expensive price per pound of tomatoes, we need to calculate the price per pound for each stand using the formula:

Price per pound=CostWeight\text{Price per pound} = \frac{\text{Cost}}{\text{Weight}}

Given Data:

  • Stand A: Weight = 34\frac{3}{4} lb, Cost = $2.00
  • Stand B: Weight = 114=541 \frac{1}{4} = \frac{5}{4} lb, Cost = $3.45
  • Stand C: Weight = 512=1125 \frac{1}{2} = \frac{11}{2} lb, Cost = $14.85

Calculations:

  1. Stand A: Price per pound=2.0034=2.00×43=83=2.67 (rounded to 2 decimal places)\text{Price per pound} = \frac{2.00}{\frac{3}{4}} = 2.00 \times \frac{4}{3} = \frac{8}{3} = 2.67 \text{ (rounded to 2 decimal places)}

  2. Stand B: Price per pound=3.4554=3.45×45=13.85=2.76\text{Price per pound} = \frac{3.45}{\frac{5}{4}} = 3.45 \times \frac{4}{5} = \frac{13.8}{5} = 2.76

  3. Stand C: Price per pound=14.85112=14.85×211=29.711=2.70\text{Price per pound} = \frac{14.85}{\frac{11}{2}} = 14.85 \times \frac{2}{11} = \frac{29.7}{11} = 2.70

Conclusion:

The stand with the least expensive price per pound is Stand A with a price of $2.67 per pound.

Would you like further details or have any questions?


Here are 5 related questions for further practice:

  1. If Stand A increased its cost to $2.50, how would the price per pound change?
  2. What would be the total cost for 2 pounds of tomatoes from Stand B?
  3. How much would 3 pounds of tomatoes cost if purchased from Stand C?
  4. Which stand has the highest price per pound?
  5. If Stand A offered a 10% discount, what would the new price per pound be?

Tip: Always convert mixed numbers to improper fractions for easier calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Ratio and Proportion
Division
Unit Price Calculation

Formulas

Price per pound = Cost / Weight

Theorems

-

Suitable Grade Level

Grades 5-7