Friday, May 8, 2009
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To solve #8, i had to make let statements. Let x = main floor ticket amount and x+100= balcony ticket amount. Then i thought how am i suppose to find the price. The trick is to times the amount of tickets by its cost to the amount of tickets sold so that you get the total amount of money made for the number of tickets sold. So since the main floor tickets are 12 dollars, i would times this amount by the number of tickets which is x and you'd get 12x. Now, the balcony tickets are 4 dollars so i times the amount by the number of tickets again. You'd get 4x+400. Now combine both let statements you have. You would get 12x+4x+400. Now you have to make it equal to the amount of all the tickets sold which is $3,056. 12x+4x+400= 3056. I would now combine like terms. Making the problem 16x+400=3056. Now solve. Minus 400 from both sides. you'd get 16x= 2656 Divide that by 16 on both sides, you'd get x=166. Now go back to your original let statement x= main floor tickets and x+100= balcony tickets. Fill in for x. You'd get 166 main floor tickets and 266 balcony tickets.
ReplyDelete- chelsi