A mini-golf course charges $5 per game for teens and $8 per game for adults. At the end of the day the course has collected $825, and 30 more games have been played by adults than by teens. A. Set up a system of equations that represents the information about fees and number of games played. Define the variables that you use. B. Using the system of equations from part A, solve algebraically for the number of games played by adults. Show your work. C. Games played by the adults accounted for more money than those played by the teens. How much more of money was collected from the adults than the teens? Show your work.
+130516 Well, that's a lot to chew on, but I'l give you the basics.
Let x be the number of games the teens played. And since the adults played 30 more, they must have played x + 30
And the number of games the teens played times the cost per game plus the number of games the adults played times their cost to play = total revenue..Mathematically, we have
5x + 8(x + 30) = 825 simplify
5x + 8x + 240 = 825
13x + 240 = 825 subtract 240 from both sides
13x = 585 divide both sides by 13
x = 45 and that's the number of games the teens played
And the adults played 30 more = 75
And the revenue collected from the teens = 45($5) = $225
And the revenue collected from the adults = 75($8) = $600
And they collected $600 - $225 = $375 more from the adults than the teens
And there you go....
+130516 Well, that's a lot to chew on, but I'l give you the basics.
Let x be the number of games the teens played. And since the adults played 30 more, they must have played x + 30
And the number of games the teens played times the cost per game plus the number of games the adults played times their cost to play = total revenue..Mathematically, we have
5x + 8(x + 30) = 825 simplify
5x + 8x + 240 = 825
13x + 240 = 825 subtract 240 from both sides
13x = 585 divide both sides by 13
x = 45 and that's the number of games the teens played
And the adults played 30 more = 75
And the revenue collected from the teens = 45($5) = $225
And the revenue collected from the adults = 75($8) = $600
And they collected $600 - $225 = $375 more from the adults than the teens
And there you go....
