A band is going to perform in a city. They sold out a concert with 3,600 seats. A random sample of 120 ticket buyers is surveyed, and 30 buyers made their purchase on the first day tickets were being sold. How many of the 3,600 tickets are likely to have been purchased on the first day they were available?

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

step-by-step explanation:

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