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.