Let x = the number of reserved seats sold and y = the number of general seats sold. 1) x+y = 41,000 "41,000 people attended..." 2) $14(x)+$5(y) = $340,000 "The day's receipts were $340,000." Rewrite equation 1) as x = y-41,000 and substitute into equation 2) 2a) 14(41,000-y)+5y = 340,000 Simplify and solve for y. 2a) 574,000-14y+5y = 340,000 Combine the y-terms. 2a) 574,000-9y = 340,000 Subtract 574,000 from both sides. -9y = -234,000 Divide both sides by -9. y = 26,000 and... x = 41,000-26,000 x = 15,000 15,000 paid $14.00 for reserved seats. 26,000 paid $5.00 for general seats.
