Math Problem Statement

The user submitted an image with a unit conversion puzzle involving gallons, miles, quarts, and other units to solve the path from start to finish.

Solution

The image shows a math puzzle where you need to follow a path of correct conversions to reach the finish line. Here is a breakdown of how to solve it step by step:

1. Start at A:

  • 16 pints = ___ gallons
  • Conversion: 1 gallon=8 pints1 \text{ gallon} = 8 \text{ pints}
  • 16 pints8 pints/gallon=2 gallons\frac{16 \text{ pints}}{8 \text{ pints/gallon}} = 2 \text{ gallons}
  • Path: Move to number 2.

2. From 2:

  • 12,320 yards = ___ miles
  • Conversion: 1 mile=1,760 yards1 \text{ mile} = 1,760 \text{ yards}
  • 12,320 yards1,760 yards/mile=7 miles\frac{12,320 \text{ yards}}{1,760 \text{ yards/mile}} = 7 \text{ miles}
  • Path: Move to number 7.

3. From 7:

  • 432 cups = ___ gallons
  • Conversion: 1 gallon=16 cups1 \text{ gallon} = 16 \text{ cups}
  • 432 cups16 cups/gallon=27 gallons\frac{432 \text{ cups}}{16 \text{ cups/gallon}} = 27 \text{ gallons}
  • Path: Move to number 27.

4. From 27:

  • 640 ounces = ___ quarts
  • Conversion: 1 quart=32 ounces1 \text{ quart} = 32 \text{ ounces}
  • 640 ounces32 ounces/quart=20 quarts\frac{640 \text{ ounces}}{32 \text{ ounces/quart}} = 20 \text{ quarts}
  • Path: Move to number 20.

5. From 20:

  • 56 cups = ___ quarts
  • Conversion: 1 quart=4 cups1 \text{ quart} = 4 \text{ cups}
  • 56 cups4 cups/quart=14 quarts\frac{56 \text{ cups}}{4 \text{ cups/quart}} = 14 \text{ quarts}
  • Path: Move to 14, which leads directly to the Finish.

Code Calculation:

  • The code seems to correspond to the letters on the path you follow:
    • A, B, C, F, G, Finish
  • The code might be derived from the letters or numbers associated with each step.

If you need any further details or calculations, let me know!

Related Questions:

  1. How do you convert between quarts and pints?
  2. What is the formula to convert miles to feet?
  3. How many ounces are in a gallon?
  4. What is the relationship between hours and minutes in conversions?
  5. How do you convert from inches to feet?

Tip:

Always remember to keep track of the units and conversions step by step, as it helps prevent errors in calculations.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Proportions
Arithmetic

Formulas

1 gallon = 8 pints
1 mile = 1,760 yards
1 gallon = 16 cups
1 quart = 32 ounces
1 quart = 4 cups

Theorems

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Suitable Grade Level

Grades 4-6