Paula and ricardo are serving cupcakes at a school party. if they arrange the cupcakes in groups of 2,3,4,5 or 6, they always have exactly one cupcake leftover. what is the smallest number of cupcakes they could have?

The smallest number of cupcakes is an illustration of LCM

The smallest number of cupcakes is 61

The groups are given as:

The remainder is given as:

First, we calculate the LCM of 2 to 6

Write out the factors

So, the LCM is:

Add the remainder, to get the smallest number of cupcakes

Hence, the smallest number of cupcakes is 61

Read more about LCMs at:

link

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)