Lola is placing appetizers on plates She has 63 spring rolls and 84 cheese cubes She wants to include both appetizers on each plate Each plate must have the same number of spring rolls and cheese cubes. What is the greatest number of plates she can make using all of the appetizers ? How of each type of appetizer on each plate?

What is the greatest common factor of 63 and 84?

878999

21

I don't even know~Jeffy

To determine the greatest number of plates Lola can make using all of the appetizers, we need to find the maximum common factor between 63 (spring rolls) and 84 (cheese cubes).

1. Find the factors of 63: The factors of 63 are 1, 3, 7, 9, 21, and 63.
2. Find the factors of 84: The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
3. Identify the common factors: The common factors between 63 and 84 are 1, 3, 7, and 21.

Since the greatest common factor among both appetizers is 21, Lola can make the greatest number of plates with 21 spring rolls and 21 cheese cubes on each plate.

To calculate the number of plates, divide the total number of each appetizer by the common factor of 21:
number of plates = (total spring rolls) ÷ (common factor) = 63 ÷ 21 = 3 plates

Therefore, Lola can make a total of 3 plates, with 21 spring rolls and 21 cheese cubes on each plate.