# SOLUTION: Ann and Sean, paid \$208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost \$15 each and floor cost \$22 each. How many of each typ

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: Ann and Sean, paid \$208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost \$15 each and floor cost \$22 each. How many of each typ      Log On

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 Question 437255: Ann and Sean, paid \$208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost \$15 each and floor cost \$22 each. How many of each type of ticket did they purchase ? I have actually figured out the problem to be 8 balcony and 4 floor. The problem is that work has to be shown in algebraic form and I can't figure out how to set the problem up in algebraic form. Found 2 solutions by ankor@dixie-net.com, nerdybill:Answer by ankor@dixie-net.com(15657)   (Show Source): You can put this solution on YOUR website!Ann and Sean, paid \$208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost \$15 each and floor cost \$22 each. How many of each type of ticket did they purchase? : Let b = no. of balcony tickets Let f = no. of floor tickets : Write an equation for each statement: : "Ann and Sean, paid \$208 for concert tickets." 15b + 22f = 208 : "They bought twice as many balcony tickets as floor tickets." b = 2f : In the 1st equation, replace b with 2f 15(2f) + 22f = 208 30f + 22f = 208 52f = 208 f = f = 4 floor tickets Then b = 2(4) b = 8 balcony tickets Answer by nerdybill(6962)   (Show Source): You can put this solution on YOUR website!Ann and Sean, paid \$208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost \$15 each and floor cost \$22 each. How many of each type of ticket did they purchase ? . Let x = number of floor tickets then from "They bought twice as many balcony tickets as floor tickets." 2x = number of balcony tickets . Our equation comes from: "Balcony tickets cost \$15 each and floor cost \$22 each." and the fact that they paied \$208: 15(2x) + 22x = 208 30x + 22x = 208 52x = 208 x = 4 (floor tickets) . balcony tickets: 2x = 2(4) = 8