Question

A group of friends wants to go to the amusement park. They have $246.75 to spend on parking and admission. Parking is$14, and tickets cost $33.25 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park. Answers 1. Giakhanh ### Answer: 7 ======================================================= Explanation: x = number of people 33.25x = cost of the tickets only, without parking 33.25x+14 = add on the cost of parking 33.25x+14 = 246.75 To solve this equation we’ll do these two steps in the order mentioned 1. Subtract 14 from both sides. This is to undo the +14 2. Divide both sides by 33.25 to undo the multiplication. The idea is we follow PEMDAS in reverse undoing everything so we can isolate x. So, 33.25x+14 = 246.75 33.25x = 246.75-14 …………. step 1 mentioned earlier 33.25x = 232.75 x = 232.75/(33.25) ……………. step 2 mentioned earlier x = 7 is the final answer ————— Check: 7 people go to the amusement park At$33.25 per person, that amounts to 7*33.25 = 232.75 dollars so far.
Then add the cost of parking to get 232.75+14 = 246.75 to match the total amount spent stated in the instructions. The answer has been confirmed.
Notes:
• This assumes they all went in the same vehicle.
• They’ll need to bring more money if they want things like food, drinks, souvenirs, playing carnival games to win prizes, etc.