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 numbers of spring rolls and cheese cubes. what is the greatest number of plates she can make using all of the appetizers? how many of each type of ppetizers will be on each of these plates?
21 is the greatest common factor.
Sex Ed
To find the greatest number of plates Lola can make using all the appetizers, we need to determine the greatest common divisor (GCD) of 63 and 84. The GCD will represent the maximum number of evenly divided plates.
To calculate the GCD, we can use the Euclidean algorithm. We divide the larger number (84) by the smaller number (63) and take the remainder:
84 ÷ 63 = 1 remainder 21
Then, we divide the previous divisor (63) by the remainder (21) to get a new remainder:
63 ÷ 21 = 3 remainder 0
Since the remainder is now 0, we stop dividing and the GCD is the last non-zero remainder, which in this case is 21.
This means that the greatest number of plates Lola can make using all the appetizers is 21.
To determine the number of each type of appetizers on each plate, we divide the total number of spring rolls (63) and cheese cubes (84) by the number of plates (21):
63 ÷ 21 = 3 spring rolls on each plate
84 ÷ 21 = 4 cheese cubes on each plate
Therefore, each plate will have 3 spring rolls and 4 cheese cubes.