Question

You are renting a hall for your birthday. They will charge you a fixed amount and a charge per guest. If 50 people attend, it will cost $350. If 60 people attend, it will cost $410. Find the fixed fee and the charge per guest.

A) Fixed fee: $200, Charge per guest: $3
B) Fixed fee: $250, Charge per guest: $3.50
C) Fixed fee: $190, Charge per guest: $4
D) Fixed fee: $220, Charge per guest: $3.50

Answer 1

The charge per guest, set up a system of equations and solve for the values of x and y. The correct answer is D) Fixed fee: $220, Charge per guest: $3.50.

Step-by-step explanation:

To find the fixed fee and the charge per guest, we can set up a system of equations based on the given information. Let x represent the fixed fee, and y represent the charge per guest.

From the first scenario with 50 people attending, the cost is $350. This can be represented as the equation: 50y + x = 350.

From the second scenario with 60 people attending, the cost is $410. This can be represented as the equation: 60y + x = 410. Solving these two equations simultaneously, we can find the values of x and y. The solution is x = $220 and y = $3.50. Therefore, the correct answer choice is D) Fixed fee: $220, Charge per guest: $3.50.