Matrix worded question Classic List Threaded 2 messages  An amphitheater has three sections. It charges \$75 , \$55 and \$ 30 for each seat in each of sections A, B and C respectively. There are three times as many seats in section A as in section B. Additionally the total revenue for the 23000 seats in the venue is \$870000. Formulate the information and determine the number of seats in each section. This post was updated on . 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