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x = number of seats in section B
3x = number of seats in section A ← there are 3 times as many seats in A as in B
23,000  4x = number of seats in Section C ← there are 23,000 total seats
55(3x) + 75(x) + 30(23,000  4x) = 870,000 ← price per seat times number of seats equals total revenue
165x + 75x + 690,000  120x = 870000 ← multiplied / distributive property
240x + 690,000 = 870,000 ← combined like terms
120x = 180,000 ← subtracted 690,000 from each side
x = 1500 ← divided each side by 120
3x = 4500 ← substituted 1500, in for x, into 3x
23,000  4x = 17,000 ← substituted 1500, in for x, into 23,000  4x
Section A = 4500 seats
Section B = 1500 seats
Section C = 17,000 seats
 Proof
