Question

tristan is having friends over to ride dirt bikes. he would like to provide a snack for them after they are done riding. he has 6 oreos and 15 sour patch kids popsicles. if he wants each serving to be identical. with no food left over whats the greatest number of servings tristan can create

Answer 1

The greatest number of identical servings Tristan can create is 3, with each serving containing 2 Oreos and 5 Sour Patch Kids popsicles. This is found by calculating the greatest common divisor (GCD) of the number of Oreos and popsicles, which is 3.

Step-by-step explanation:

Tristan is tasked with dividing 6 Oreos and 15 Sour Patch Kids popsicles into identical servings for his friends, with no food left over. The greatest number of identical servings he can create can be found by determining the greatest common divisor (GCD) of the two quantities.

The GCD of 6 and 15 is 3. Therefore, Tristan can create 3 servings, each containing 2 Oreos and 5 Sour Patch Kids popsicles. This is because when we divide 6 Oreos by 3, we get 2 Oreos per serving, and when we divide 15 popsicles by 3, we get 5 popsicles per serving.

It is important to note that the GCD enables Tristan to divide the snacks into the maximum possible number of identical servings without any leftovers, ensuring each friend receives an equal share.