Question: John's dog has a litter of 8 puppies. He gives away half of them. He keeps one of the remaining puppies. He then takes the remaining puppies and sells them each for $600. He had to give the owner of the stud $300. How much money does he profit?
Answer with step-by-step thinking: He had 8 / 2 = 4 left after giving some puppies away. He then keeps one so he sells 4 - 1 = 3 puppies. That means he made 3 * 600 = $1800. So his profit was 1800 - 300 = $1500.
So the answer is 1500.


Question: A pen is longer than the rubber by 3 centimeters, and shorter than the pencil by 2 centimeters. Considering the pencil is 12 centimeters long, what is the total length of the rubber, the pen, and the pencil altogether?
Answer with step-by-step thinking: The pen is shorter than the pencil by 2 centimeters, so it's 12 - 2 = 10 centimeters long. That means the rubber is 10 - 3 = 7 centimeters long. So all accessories are 7 + 10 + 12 = 29 centimeters long altogether.
So the answer is 29.


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?
Answer with step-by-step thinking:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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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.
So the answer is 2.