[Question]In a class of 30 students, the teacher polls the students on their favorite subject. 1/5 of the students like Math, and 1/3 like English. 1/7 of the remaining students like Science. The rest don't have a favorite subject. How many students don't have a favorite subject?
[Answer]30 x 1 / 5 = 6 students like Math. 30 x 1 / 3 = 10 students like English. So, 6 + 10 = 16 students like either Math or English. Thus, 30 - 16 = 14 students neither like Math nor English. Since 1 / 7 of the remaining like Science, therefore 14 x 1 / 7 = 2 students like Science. Hence, 14 - 2 = 12 students neither likes the 3 subjects. The answer is 12.
Q: Out of the 200 students in a class, thirty percent like the color blue. Among the remaining students who don't like the color blue, 40% like the color red, and the rest like the color yellow. Calculate the combined number of students who like the color yellow and the color blue.
A: The number of students who like the color blue is 30 / 100 * 200 = 60. Out of the 200 students in the class, 200 - 60 = 140 don't like the color blue. Among the students who don't like the color blue, 40 / 100 * 140 = 56 students like the color red. If the rest of the students like neither blue nor red and only like the color yellow, their number is 140 - 56 = 84. The total number of students who like the color yellow and those who like the color blue is 84 + 60 = 144. The answer is 144.
Question: Matt's protein powder is 80% protein. He weighs 80 kg and wants to eat 2 grams of protein per kilogram of body weight each day. How much protein powder does he need to eat per week?
Answer: He wants to eat 80 * 2 = 160 grams of protein a day. That means he needs 160 / .8 = 200 grams of protein per day. So he needs 200 * 7 = 1400 grams per week. The answer is 1400.
[Question]Maya's organization hosted a weekly farmers' market to raise money for the church choir. They sold broccolis, carrots, spinach, and cauliflowers. After adding together all of their earnings, Maya found out that they had made $380. The organization made $57 from broccoli and the sales of the carrots are twice as much as the sales of broccoli. Then, their sales for the spinach is $16 more than half of the sales of carrots. How much did they make from cauliflower sales?
[Answer]The sales of the carrot is 57 x 2 = $114. Half the sales of carrot is $114 / 2 = $57. So, the sales of the spinach is $57 + $16 = 73. The total sales of the broccolis, carrots, spinach is $57 + $114 + $73 = $244. They made $380 - $244 = $136 from cauliflower sales. The answer is 136.
Q: Vincent's bookstore is divided into different kinds of books. His top-selling books are fantasy books. He also sells literature books which cost half of the price of a fantasy book. If his fantasy books cost $4 each, and he sold five fantasy books and eight literature books per day, how much money will he earn after five days?
A: Vincent earns $4 x 5 = $20 for selling 5 fantasy books per day. The price of the literature book is $4 / 2 = $2 each. He earns $2 x 8 = $16 per day for selling 8 literature books. So the total money he earns per day is $16 + $20 = $36. Therefore, he will earn $36 x 5 = $180 after 5 days. The answer is 180.
Question: Addilynn went to the grocery store and bought six dozen eggs for use in her house. After two weeks, she used half of the eggs, then accidentally broke 15 of the remaining eggs while moving them to clean the shelves. How many eggs are left on the shelf?
Answer:
Since a dozen has 12 eggs, the total number of eggs that Addilynn bought is 6 dozen * 12 eggs / dozen = 72 eggs. If she used half of the eggs, the number of eggs left is 72 eggs / 2 = 36 eggs. While moving the eggs to clean the shelves, she broke 15 eggs, leaving 36 eggs - 15 eggs = 21 eggs. The answer is 21.