There are 24 students in the class. One-third had their school portraits taken before lunch. After lunch, but before gym class, 10 additional students had their portraits taken. After gym class, how many students have not yet had their picture taken? Give the rationale and then the answer.
Let's think step by step. Before lunch, 24 / 3 = 8 students were photographed. Then 8 + 10 = 18 have been photographed by gym class. So 24 - 18 = 6 remain.. The answer is: 6.

Rachel is 4 years older than Leah. If the sum of their ages is 34, how old is Rachel? Give the rationale and then the answer.
Let's think step by step. If Rachel and Leah have the same age, then the sum of their ages would be 34 - 4 = 30. So Leah would be 30 / 2 = 15 years old. Hence, Rachel is 15 + 4 = 19 years old.. The answer is: 19.

Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's? Give the rationale and then the answer.
Let's think step by step. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3 * 1000 = 3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 5 * 3000 = 15,000 feet. Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000 - 2,000 = 13,000 feet. Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000 - 1,000 = 12,000 feet farther.. The answer is: 12000.