Jose is trying to decide how many friends he can invite to his roller skating party. Skate rentals cost $2.50 per person, including Jose, and he knows that 3 adult chaperones plan to skate.
How many friends can Jose invite if he wants to spend only $50.00 total on skate rentals?
Jose can invite friends.
Jose can invite 17 friends.
Explanation:
Skate rentals cost $2.50 per person, including Jose, so the total cost for Jose and his friends to skate is $2.50 x (friends + 1) = $2.50(friends + 1).
Jose also knows that 3 adult chaperones plan to skate, so the total cost for skate rentals must be less than or equal to $50.
Therefore, $2.50(friends + 1) + $2.50(3) ≤ $50.
$2.50(friends + 1) + $7.50 ≤ $50.
$2.50(friends + 1) ≤ $42.50.
Friends + 1 ≤ 17.
Therefore, Jose can invite a maximum of 17 friends.