Question

math help ss below

Answer 1

@AZ is this right?

Answer 2

oh wait im wrong! it should be the candy that is left

Answer 3

Hmmm no

Each one assumes that they are the first to arrive

since the ratio is 3:2:1

that means Albert takes 1/2
Bert takes 1/3
Carl takes 1/6

Answer 4

If Al came first, he would take half
then Bert comes and he takes 1/3 of the remaining half so he takes 1/6 of the total

and so that means there's 1 - 1/2 - 1/6 = 2/6 = 1/3 left from the original amount

Answer 5

Does that make sense?

Now Carl is going to come and take 1/6 of the remaining 1/3 (since he thinks he's the first one there)

and so how much does Carl get from the original amount

and then how much is left over

Answer 6

so he takes
1/2+1/6+1/18?

Answer 7

another way to think about it is

after Al comes, there's 1/2 left
after Bert comes, there's 2/3 left
after Carl comes, there's 5/6 left

and since they all think they're first, you just multiply the three numbers

and it doesn't matter who comes first because you're just multiplying

Answer 8

al takes 1/2
al leaves 1/2
bert takes 1/3 of 1/2 so 1/6
carl 5/6 left takes 1/6 of that 5/36
would this work?

also would tha answer be 13/18 then?

Answer 9

no, that wouldn't work because remember al took 1/2 of the original amount himself

Bert takes 1/3 of the 1/2 which is 1/6 of the total original amount

so you need to subtract 1/6 and 1/2 from the original amount of 1

or since Bert is taking 1/3 of the 1/2
Think of it like a pie
Half of it is gone and now the remaining half is cut into thirds. Bert takes 1/3 so that leaves 2/3 left

so now Carl takes 1/6 from that 2/3

Answer 10

the answer isn't 13/18

13/18 is how much Al + Bert + Carl took

how much is left over aka unclaimed is 1 - 13/18

Answer 11

5/18 is the answer
so let me try to explain
lets say its a pie
albert eats 1/2 of the pie
the bert eats 1/3 of a half which is 1/6
meaning there is 1-1/2-1/6=2/6 of pie left
and carl eats 1/6 of 1/3(2/6 simplified) did i explain it correctly?

Answer 12

yup!

Answer 13

ok thx

Answer 14

you're welcome