Question

Harry is making packs containing chocolate frogs and fizzing whizzbees. He has a pile of 63 chocolate frogs and a pile of 54 fizzing whizzbees. The packs all must be identical.

what is the greatest number of packs that can be made?

in this case, what are the contents of each pack?

Answer 1

A) To find the greatest number of packs that can be made, we need to find the greatest common divisor (GCD) of 63 and 54. One way to do this is to use the Euclidean algorithm:

63 = 1 * 54 + 9

54 = 6 * 9 + 0

Since the remainder is 0, the GCD of 63 and 54 is 9. Therefore, the greatest number of identical packs that can be made is 9.

B) To determine the contents of each pack, we need to divide the number of chocolate frogs and fizzing whizzbees by the number of packs:

Chocolate frogs per pack = 63 / 9 = 7

Fizzing whizzbees per pack = 54 / 9 = 6

Therefore, each pack contains 7 chocolate frogs and 6 fizzing whizzbees.