Mrs. Silva is taking her family to Arctic Dome ice rink. The employee she spoke to on the phone said the total cost for all 5 of them would be $75. This includes the entrance ticket and the $6 skate rental fee for each person. How much does an entrance ticket cost?

The total cost for all 5 people is $75 and each person pays $6 for the skate rental. So the total cost for the skate rentals is 5 * $6 = $<<5*6=30>>30

The entrance ticket cost is the total cost for all 5 people minus the skate rental fee, so it is $75 - $30 = $<<75-30=45>>45
The entrance ticket costs $45. Answer: \boxed{45}.

To find out how much an entrance ticket costs, we need to subtract the skate rental fee from the total cost for all 5 people.

The total cost is $75, and the skate rental fee is $6 per person. Since there are 5 people in Mrs. Silva's family, the total skate rental fee is 5 * $6 = $<<5*6=30>>30.

To find the cost of the entrance tickets, we subtract the skate rental fee from the total cost: $75 - $30 = $<<75-30=45>>45.

Therefore, the entrance ticket costs $45.

To find out how much an entrance ticket costs, we can subtract the skate rental fee from the total cost for all five people.

First, we need to calculate the total skate rental fee. Since there are five people, and each person pays a $6 rental fee, the total skate rental fee is 5 x $6 = $30.

Now, we can subtract the total skate rental fee from the total cost for all five people to find the cost of the entrance tickets. The total cost for all five people is $75, so the cost of the entrance tickets is $75 - $30 = $45.

Therefore, the entrance ticket cost for each person is $45 divided by 5 people, which is $9 per person.