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

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

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