In the last student-council elections, Jill got x number of votes, Morgan got twice as many votes as Jill, Trisha won the election with 7 more votes than Morgan, If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.

go hook jvc hgv cj xk jvc 6756

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

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