Question

Rodney is planning for his birthday party for 30 people. He plans that each guest will drink 1 cup of juice. He has 5/2 gallons of juice. Does he have enough juice for the party?

Answer 1

Yes, Rodney has enough juice for the party because he has 40 cups of juice, which is more than 30 cups (the minimum amount he needs).

Explanation:

1. First, we should note that 1 gallon is equal to 16 cups.

2. Considering the conversion rate, we can multiply the number of gallons that Rodney has (5/2 gallons), by the number of cups in a gallon (16 cups).

• Set up the expression: 5/2 * 16
• Multiply 16 into the numerator of the fraction (16 * 5): 5/2 * 16 = 80/2
• Divide: 80/2 = 40

3. Therefore, Rodney has 40 cups of juice. Since there will be 30 people and each person will only drink 1 cup of juice, then Rodney needs at least 30 cups of juice. Since Rodney has 40 cups (more than 30), he has enough juice for the party.