Question

Roger is planning a party and needs specific quantities of ingredients to make punch:

1. 2 quarts of orange juice
2. 3 cups of cranberry juice
4. 1 gallon of ginger ale
4. 1 pint of pineapple juice

Roger found a bowl that holds 8 liters of liquid but is unsure if he can fit all the ingredients in the bowl at the same time. Use the following measurement equivalents to determine if Roger can use the 8-liter bowl to mix all the punch ingredients. Show your work. If he can use the bowl, calculate how many liters of liquid could still fit. If he cannot use the bowl, determine how many extra liters of liquid there are. Round your answers to the nearest tenth of a liter.

Measurement Equivalents:

A. 1 liter is about 4.23 cups
B. 1 liter is about 2.11 pints
C. 1 liter is about 1.06 quarts
D. 1 liter is about 0.26 gallons

Answer 1

Roger can use the 8-liter bowl to mix his punch ingredients, which total up to 6.9 liters. There will be 1.1 liters of space remaining in the bowl.

Step-by-step explanation:

Roger's party punch ingredients need to be converted to liters to determine if they can fit in an 8-liter bowl. Let's convert each measurement using the given metric equivalents:

• 2 quarts of orange juice - According to the equivalent D, 1 liter is about 1.06 quarts. So, 2 quarts ≈ 2 / 1.06 ≈ 1.9 liters (rounded to the nearest tenth).
• 3 cups of cranberry juice - According to A, 4.23 cups are in 1 liter. So, 3 cups ≈ 3 / 4.23 ≈ 0.7 liters (rounded to the nearest tenth).
• 1 gallon of ginger ale - According to the equivalent D, 1 gallon is about 0.26 liters. So, 1 gallon ≈ 1 / 0.26 ≈ 3.8 liters.
• 1 pint of pineapple juice - Using equivalent B, 1 liter is about 2.11 pints. So, 1 pint ≈ 1 / 2.11 ≈ 0.5 liters (rounded to the nearest tenth).

Adding all these together: 1.9 + 0.7 + 3.8 + 0.5 = 6.9 liters.

Roger's 8-liter bowl is sufficient to mix all the punch ingredients. There will be 8 - 6.9 = 1.1 liters of space remaining in the bowl.