Question

mehdi a gagné 184 sucettes et 98 bonbons à un jeu. Étant très généreux, et ayant surtout très peur du dentiste, il décide de les partager avec des amis. Pour ne pas faire de jaloux, chacun doit avoir le même nombre de sucettes et le même nombre de bonbons. 1) Mehdi peut-il faire 7 paquets ? Justifie. 2) Combien de personnes au maximum pourront bénéficier de ces friandises (Mehdi étant Inclus dans ces personnes) ? Expliquer votre raisonnement. 3) Combien de sucettes et de bonbons aura alors chaque personne ?

Answer 1

Answer: 92 sucettes and 49 bonbons.

Explanation:

AI-generated answer

1) To determine if Mehdi can make 7 equal packages, we need to check if the total number of candies can be divided equally into 7 parts. Mehdi has 184 sucettes and 98 bonbons, which gives a total of 184 + 98 = 282 candies.

To divide the candies into 7 equal packages, we need to check if 282 is divisible by 7. If 282 divided by 7 gives an integer result, then Mehdi can make 7 equal packages. Let's calculate it:

282 ÷ 7 = 40.2857...

Since the result is not an integer, we cannot divide the candies into 7 equal packages. Therefore, Mehdi cannot make 7 equal packages.

2) To determine the maximum number of people who can benefit from the candies, we need to find the greatest common divisor (GCD) of 184 and 98. The GCD represents the maximum number of people who can receive an equal number of candies.

The GCD of 184 and 98 is 2. To find the GCD, we can use the Euclidean algorithm or a calculator. In this case, the GCD is 2.

Therefore, the maximum number of people who can benefit from the candies, including Mehdi, is 2.

3) Since the GCD is 2, we need to divide the total number of candies by 2 to find out how many candies each person will receive.

For sucettes:

184 ÷ 2 = 92

For bonbons:

98 ÷ 2 = 49

Therefore, each person, including Mehdi, will receive 92 sucettes and 49 bonbons.