Question

A person removing 2 eggs at time from an Easter basket has 1 left; the person removing them 3 at a time has 2 left; the person removing them 5 at a time has 3 left. What is the fewest number of eggs possible in the basket?

Answer 1

Since we dont know the exact amount of times you can use a variable to change this into an equation. Can you do that?

Answer 2

Honestly I'm not sure what I can do with this problem lol..I googled it and got something where the person made 3 different equations where they use 5k+3, 3n+2 and 2m+1 and those letters used as integers, for my assignment I have to explain the steps for solving this problem and also have the correct answer to receive credit, nice math teacher huh?

Answer 3

haha yeah

Answer 4

anyways the answer the 23 eggs but since you gotta show the steps, try using the equations

Answer 5

Is 23 eggs*

Answer 6

Lol I knew the answer was 23 but my steps for getting that answer is somewhere in the clouds and my words can't seem to pull them down

Answer 7

THey all start out with the same number of eggs?

Answer 8

I'm not sure how many eggs they start with.

Answer 9

hmm

Try this:

5 is the largest number and the remaining eggs is 3 so we know It's 5x+3.
3 is the next largest number and the remaining eggs is 2 so we know the answer has got to be odd and the equation is 3y+2.
2, the last number, has a remaining egg of one and the equation is 2z+1.

Answer 10

Can you do the rest from here?

Answer 11

I will certainly try!

Answer 12

oki :P

Answer 13

Not sure if your teacher would take guess work but just in case:

1st person 3 5 7 9 11 13 15 17 19 21 23 25
2nd person 5 8 11 14 17 20 23
3rd person 8 13 23 28

23 is the lowest one that matches all criterias

Answer 14

Thanks so much

Answer 15

No problem :'D