The cost of a ticket to an amusement park is $42 per person for groups up to 8 people, the cost per ticket decreases by $3 for each person in the group. marcos's ticket cost $30. write and solve an equation to find the number of people in marcos's group.

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

12 cups   is the answer

step-by-step explanation: