Question: Manny is making lasagna for dinner with his four friends, Lisa, Raphael, Aaron, and Kai. He needs to know how many pieces to cut the lasagna into to serve it. Manny only wants one piece. Aaron doesn't like lasagna much and will probably only eat garlic bread and salad. Kai is always hungry and will eat twice as much as Manny. Raphael always eats half the amount Manny does, but his sister Lisa loves lasagna and will eat two pieces, plus any Raphael has left of his piece. How many pieces should Manny cut his lasagna into?
Answer with step-by-step thinking: Manny will eat 1 piece. Aaron will eat 0 pieces. Kai will eat twice as much as Manny, so he will eat 2 * 1 = 2 pieces. Raphael will eat half as much as Manny, so he will eat 1 * 1 / 2 = 1 / 2 piece. Lisa will eat 2 pieces plus the remainder of Raphael’s piece, so she will eat 2 + 1 / 2 = 2 1 / 2 pieces. Together, they will eat 1 + 0 + 2 + 1 / 2 + 2 1 / 2 = 1 + 2 + 3 = 6 pieces. Thus, Manny should cut his lasagna into 6 pieces.
So the answer is 6.


Question: Tom wants to visit Barbados. He needs to get 10 different vaccines to go and a doctor's visit. They each cost $45 and the doctor's visit costs $250 but insurance will cover 80% of these medical bills. The trip itself cost $1200. How much will he have to pay?
Answer with step-by-step thinking: The medical cost comes out to 45 * 10 + 250 = $700. Insurance covers 700 * .8 = $560. So he has to pay 700 - 560 = $140. Added to the cost of the trip he has to pay 1200 + 140 = $1340.
So the answer is 1340.


Question: Josh gets together with 7 friends. Everyone including him puts 5 dollars into a pot. First place gets 80% of the money. Second and third place split the rest. How much money does third place get?
Answer with step-by-step thinking:
7 + 1 = 8 people threw money into the pot. So the amount of money in the pot is 8 * 5 = $40. First place gets 40 * .8 = $32. So there is 40 - 32 = $8 left in the pot after first place gets his cut. So third place gets 8 / 2 = $4.
So the answer is 4.