units of capacity\ncustomary system units\tmetric system units\n1 gallon\t3.79 liters\n1 quart\t0.95…

units of capacity\ncustomary system units\tmetric system units\n1 gallon\t3.79 liters\n1 quart\t0.95 liters\n1 quart = 4 cups\n1 gallon = 16 cups\nhow many cups are in 1 liter?\nwhich conversions show a path to the solution? check all that apply.\n□ cups → liters → quarts\n□ liters → quarts → cups\n□ cups → gallons → liters\n□ liters → gallons → cups

units of capacity\ncustomary system units\tmetric system units\n1 gallon\t3.79 liters\n1 quart\t0.95 liters\n1 quart = 4 cups\n1 gallon = 16 cups\nhow many cups are in 1 liter?\nwhich conversions show a path to the solution? check all that apply.\n□ cups → liters → quarts\n□ liters → quarts → cups\n□ cups → gallons → liters\n□ liters → gallons → cups

Answer

Explanation:

Step1: Analyze the goal

We want to find cups in 1 liter. We need to use conversion - factors between metric and customary units.

Step2: Evaluate each option

  • For "cups → liters → quarts": We start from cups, but we want to get to cups from liters, so this is wrong.
  • For "liters → quarts → cups": Since 1 quart = 0.95 liters and 1 quart = 4 cups, we can first convert 1 liter to quarts ($\text{quarts}=\frac{1}{0.95}$) and then convert quarts to cups. This is a valid path.
  • For "cups → gallons → liters": We start from cups, but we want to start from liters, so this is wrong.
  • For "liters → gallons → cups": Since 1 gallon = 3.79 liters and 1 gallon = 16 cups, we can first convert 1 liter to gallons ($\text{gallons}=\frac{1}{3.79}$) and then convert gallons to cups. This is a valid path.

Answer:

liters → quarts → cups, liters → gallons → cups