Question

Ellie is dropping marbles into a box one at a time in the following order: red, white, white, blue, blue, blue; red, white, white, blue, blue, blue; ... How many marbles will be in the box right after the 100th blue one is put in?

Answer 1

first consider a small box 1 with
red white white blue blue blue
just six marble in small box 1 .....we are putting these small boxes in larger one

Answer 2

now in each box there are 3 blue marble

Answer 3

considering 3 in each small box how many small box are needed to make 100 ??

Answer 4

Divide 100/3 ?

Answer 5

look at it this way...for every 6 marbles, 3 of them are blue

Answer 6

yeah that means 33 complete small box + 1 box is in complete

Answer 7

in 33 small boxes blue marbles = 33*3 =99

Answer 8

so first marble in next small box will be 100th blue agree??

Answer 9

Yes.

Answer 10

in 33 box each have total 6 marble

Answer 11

so in 33 box total number of marble =???

Answer 12

33*6?

Answer 13

yes

Answer 14

yes

Answer 15

I meant.. 198.

Answer 16

99 blue and total 33*6 marble

Answer 17

now in next box first we will put which marble ???

Answer 18

before blue ??

Answer 19

white

Answer 20

198+1=199

Answer 21

after white ??

Answer 22

Oh, blue. Sorry.

Answer 23

no...what comes before white

Answer 24

Red..

Answer 25

red +white+white ....do we put theses before blue ????

Answer 26

Yes.

Answer 27

so total = 198+1 red+ 2white=198+3=201

Answer 28

so there is 3 marbles before the last blue one

Answer 29

Okay.

Answer 30

so now we have total 201 but 99 blue so we need to put one blue agree??

Answer 31

to make blue = 100

Answer 32

Yes.

Answer 33

so total marble after 100th blue =??

Answer 34

301?

Answer 35

in 201 we have 99 blue and we are just adding only one more blue

Answer 36

201 marbles + 1 blue marble =

Answer 37

201+1blue =??

Answer 38

202.

Answer 39

BINGO :)

Answer 40

u did it :)

Answer 41

very good explaining gorv :)

Answer 42

Alright then. Thank you so much to both of you!!

Answer 43

thankuu buddy @texaschic101 :)