Answer the following question.
A particular train has some passenger cars and a number of cargo cars equal to half the number of passenger cars plus three. If the total number of cars is 71, counting the engine and caboose, how many passenger cars are in the train?
Step-by-step reasoning process: First find the number of cars not counting the engine and caboose: 71 cars - 2 cars = 69 cars. Let p be the number of passenger cars and c be the number of cargo cars. We know that p + c = 69 and c = p / 2 + 3. Substituting the second equation into the first, we get p + p / 2 + 3 = 69. Combining like terms, we get 1.5p + 3 = 69. Subtracting 3 from both sides, we get 1.5p = 66. Dividing both sides by 1.5, we get p = 44.
The answer is 44.

Answer the following question.
Maria has 19 cookies. She decided to give her friend 5 of them, and half of the rest to her family. From the rest, Maria decided to eat 2 cookies. How many cookies will she have left?
Step-by-step reasoning process: Maria wants to give away 5 cookies, so she will be left with 19 - 5 = 14 cookies. Half of these will go to her family, which means 14 / 2 = 7 cookies. Maria decided to eat 2 / 7 * 7 = 2 cookies. So she will be left with 7 - 2 = 5 cookies.
The answer is 5.

Answer the following question.
Alexander draws 9 pictures for an exhibition at a gallery. 5 new galleries also want Alexander to draw for them, so he draws pictures for their exhibitions too. Each of these new galleries receives the same amount of pictures. For each picture, Alexander needs 4 pencils. For each exhibition, he needs another 2 pencils for signing his signature on the pictures. If Alexander uses 88 pencils on drawing and signing his pictures for all of the exhibitions, how many paintings are at each of the 5 new galleries?
Step-by-step reasoning process: Alexander has sent pictures to a total of 1 original gallery + 5 new galleries = 6 galleries. For signatures, he has used a total of 6 galleries * 2 pencils per gallery = 12 pencils. So of the pencils that he used, 88 total pencils – 12 signature pencils = 76 pencils for drawings. At the first gallery, he used 9 pictures * 4 pencils per picture = 36 pencils. So in the new galleries, he used 76 total pencils for drawings – 36 pencils at the first gallery = 40 pencils. The new galleries received a total of 40 pencils / 4 pencils per picture = 10 pictures. As the new galleries all receive equal amounts of pictures, each gallery must have 10 pictures / 5 galleries = 2 pictures per gallery.
The answer is 2.

Answer the following question.
Phil and Andre decide to order some pizza. They get a small cheese and a large pepperoni. The small pizza has 8 slices, The large has 14 slices. They have both eaten 9 slices already. How many pieces are left per person?
Step-by-step reasoning process: There are 22 pieces of pizza because 14 plus 8 equals 22. They have eaten 18 pieces of pizza because 9 plus 9 equals 18. There are 4 pieces of pizza left because 22 minus 18 equals 4. There are 2 pieces per person because 4 divided by 2 equals 2.
The answer is 2.