three pirates split a treasure. redbeard takes 70 percent of the treasure, and whitebeard and bluebeard split the rest in a 4: 3 ratio. compute white beard's part of the treasure as a simplified fraction of the total.

⁶/₃₅

Step-by-step explanation:

If Redbeard takes 70 %, Whitebeard and Bluebeard must split the remaining 30 % (³/₁₀) of the treasure

If they split in a 4:3 ratio, Whitebeard gets ⁴/₇ of the 30 % and Bluebeard gets ³/₇.

Whitebeard's share is ⁴/₇(³/₁₀) = ²/₇(⅗) = ⁶/₃₅ of the total

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)