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

what is the graph

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: