There are some small cubes and some large cubes in a bag

[thick perch]

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[nova karma]

large yellow cubes huh

well

[runic mauve]

make some variables
a = smallyellow, b = largeyellow, c = largered
a/(b+c) = 4/7
c/(a+b) = 3/5

[nova karma]

take small as x

[nova karma]

dude typed out what i was gonna say
thx mate

[modern temple]

@nova karma has given 1 rep to @runic mauve

[dusk leaf]

aight

lemme see what i can do wi that rq

[dusk leaf]

couldnt cook

what you do after

[runic mauve]

alright so there's not enough information to find a,b,c

however you can notice, that if you multiply a valid solution, by 2, ex. (a,b,c) -> (2a,2b,2c) all the ratios still hold

that means you can scale the triple by any positive number, so just say b = 1 arbitrarily

then you can solve for a,c

[dusk leaf]

what would you get as the answer if you solved it

i can probably find the working easier if i know the answer

[runic mauve]

doubt

[dusk leaf]

trust

my mind is weird as fuck

[runic mauve]

a/(1+c) = 4/7
c/(1+a) = 3/5

[dusk leaf]

is it 39/88

[runic mauve]

that's not what i get

for either a or c

[dusk leaf]

oh shet

[dusk leaf]

what do you get

[runic mauve]

show your steps

[dusk leaf]

did you get 23/88

[runic mauve]

still no, but closer

so you have 7a = 4 + 4c
5c = 3 + 3a?

definitely a bit annoying to solve
a = (5/3)c - 1
7(5/3)c - 7 = 4 + 4c
35c - 21 = 12 + 12c
23c = 33

[atomic scarab]

for it to be the least possible, take the LCM
small cubes = 4x
large cubes = 7x
red cubes = 3y
yellow cubes = 5y
4x+7x = 3y+5y
11x = 8y
LCM(11, 8) = 88
so least possible total number of cubes is 88
am I correct?

[runic mauve]

well you are trying to find least possible number of large yellow cubes, but yeah youre right

[atomic scarab]

ok

[atomic scarab]

so now we have 3 variables and 3 equations which is enough to solve

[runic mauve]

yep

[dusk leaf]

@runic mauve whats the answer

[runic mauve]

getting math help is not people give you the answer and you write it down

given there are 88 total cubes, can you figure it out?

[runic mauve]

or this