Toby has 63 photos on his camera roll. He deletes seven bad shots, takes fifteen pictures of his cat, and then does a photo shoot with his friends. After editing the photos with his friends, he decides to delete three of them. His camera roll has 84 photos in the end. How many photos did Toby take in the photo shoot? Give the rationale and then the answer.
Let's think step by step. Let P be the number of photos in the photo shoot. After Toby deleted 7 shots, he had 63 - 7 = 56 photos. After taking 15 cat pictures, he had 56 + 15 = 71 photos. After the photo shoot, he had 71 + P photos. After deleting 3 photos, he had 71 + P - 3 = 68 + P photos. He had 68 + P = 84 photos in the end. Thus, Toby took P = 84 - 68 = 16 photos in the photo shoot.. The answer is: 16.

Jane plans on reading a novel she borrows from her friend. She reads twice a day, once in the morning and once in the evening. In the morning she reads 5 pages and in the evening she reads 10 pages. If she reads at this rate for a week, how many pages will she read? Give the rationale and then the answer.
Let's think step by step. The number of pages Jane reads in a day is 5 in the morning and 10 in the evening, so she reads 10 + 5 = 15 pages in a day. If she reads for a week she reads for 7 days, so by the end of the week she reads 15 * 7 = 105 pages.. The answer is: 105.

Carolyn is planning out her final essay. The introduction will be 450 words, the conclusion will be triple the length of the introduction, and each of the four body sections will be the same length. If her essay has to be 5000 words total, how long is each section? Give the rationale and then the answer.
Let's think step by step. First find the length of the conclusion by tripling the length of the introduction: 450 words * 3 = 1350 words. Then subtract the length of the introduction and conclusion from the total length to find the combined length of the body sections: 5000 words - 1350 words - 450 words = 3200 words. Then divide the combined length of the body section by the number of body sections to find the length of each section: 3200 words / 4 sections = 800 words / section.. The answer is: 800.