Question

Jill wants to have a bowling party with her friends. Normally, the local bowling alley charges $4 per person to bowl and $3 per person for shoe rentals. However, the alley also has a group rate of $90 for everyone to bowl, along with a discounted rate of $2 per person for shoe rentals.
How many people would need to go to the party for the two options to cost the same?

Answer 1

Let n be the number of people.

Normal cost: 7n (since $4 + $3 = $7 per person).
Group cost: 90 + 2n.

Set equal: 7n = 90 + 2n → 5n = 90 → n = 18.

So 18 people make the costs the same.