Ivan has 15 yards of green felt and 12 yards of blue felt to make3 quilts. if ivan used the same total number of yards for each quilt, how many yards does he use for each quilt?

Step-by-step explanation:

Each of the 3 quilts will use 1/3 of the amount of felt. For each quilt, Ivan will use ...

  (1/3)(15 yards green) = 5 yards green

  (1/3)(12 yards blue) = 4 yards blue

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hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb