Question

A and B are positive integers

which quantity is larger?

A. a/b

B. a+3/b+3

Answer 1

are a and b also integers or just A and B?

Answer 2

and i suppose B. is suppose to be \[\frac{a+3}{b+3}\]

Answer 3

not a+3/b+3

Answer 4

I think Letter. B is a larger quantity

Answer 5

a and b. A. and B are just used to seperate the answers

Answer 6

a/b ? (a+3)/(b+3)


a(b+3) ? b(a+3)


ab+3a ? ab+3b


3a ? 3b


a ? b


So the answer depends on whether if a > b or a < b

Answer 7

so then it cannot be determined?

Answer 8

yes we need need know if a<b or if a>b
so not enough info

Answer 9

thanks

Answer 10

omg i want some ice cream

Answer 11

you could also subtract the fractions to see the conditions:

\[\frac{a}{b} - \frac{a+3}{b+3} \iff \frac{3(a-b)}{b(b+3)}\]
if a > b, then a/b is bigger, if a<b, then (a+3)\(b+3) is bigger.

Answer 12

i want ice cream too =/ vanilla bean.

Answer 13

i'm gonna get some ice cream and put some of that chocolate that hardens on it

Answer 14

or you could try it with a = 1, b = 2, and then switch
and make b = 1 and a = 2

Answer 15

ice cream and baked bean

Answer 16

a=icecream and b=chocalate
and then switch
thats what i did

Answer 17

example,

if a=1 and b=2 (so a < b), then a/b = 1/2 = 0.5 and (a+3)/(b+3) = 4/5 = 0.8

So if a=1 and b=2 (a < b), then a/b < (a+3)/(b+3)


BUT....


if a=2 and b=1 (now a > b), then a/b = 2/1 = 2 and (a+3)/(b+3) = 5/4 = 1.25

So if a=2 and b=1 (a > b), then a/b > (a+3)/(b+3)


See the difference?

Answer 18

guess we all had the same idea

Answer 19

great minds think alike :P

Answer 20

no about that ice cream <.<

Answer 21

ice cream for crows

Answer 22

now*

Answer 23

crows?

Answer 24

i hate my color =/

Answer 25

it looks good on you joe lol

Answer 26

lolol

Answer 27

i think the pink brings out your eyes

Answer 28

LOL

Answer 29

yeah you look like pepto bimsol

Answer 30

lol

Answer 31

haha

Answer 32

actually i do. you look more like a faded my little pony

Answer 33

i didnt care for the precious color at first, but now i want it back <.<

Answer 34

previous*

Answer 35

next you will be light pink

Answer 36

precious is more a propos

Answer 37

lol >.<