Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch. Each student must pay an entrance fee to the museum and $7.25 for lunch. The total cost for the trip is $443.75. What is the entrance fee for one student?

the answer is 17.46 or 17.75

Question

Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch. Each student must pay an entrance fee to the museum and $7.25 for lunch. The total cost for the trip is $443.75. What is the entrance fee for one student?

the answer is 17.46 or 17.75

anonymous · Answer

@lilg132: Please don't just provide answers.  From the code of conduct:

"Don't provide someone with just the answer - explain the process, and help guide them through understanding the problem."

anonymous · Answer

The unknown value is the entrance fee, so let's call it F. Each student pays the entrance fee plus $7.25 for lunch, or:

$$F + 7.25$$
There are 25 students, so the total paid is:

$$25(F + 7.25)$$
And we know that the total paid is $443.75. So here we go:

$$25(F + 7.25) = 443.75$$$$25F + 25\times7.25 = 443.75$$$$25F + 181.25 = 443.75$$$$25F + 181.25 - 181.25 = 443.75 - 181.25$$$$25F = 262.5$$$$F = \frac{ 262.5 }{ 25 }$$$$F = 10.5$$
So the entrance fee is actually $10.50. We can make sure if we want (always a good idea) by plugging the result back into our equation:

$$25(F + 7.25)$$$$25(10.50 + 7.25)$$$$25(17.75)$$$$443.75$$
So we know that $10.50 is the correct answer!

anonymous · Answer

thx and um whoever the top one is...da flutter spaming much!