Q: A rectangle has a length of 40 meters and a width of 20 meters. A similar smaller rectangle has half the length and width of the big rectangle. What's the area of the smaller rectangle?
A: The length of the smaller rectangle is 1 / 2 * 40 = 20 meters. The width of the smaller rectangle is 1 / 2 * 20 = 10 meters. Since the area of a rectangle is found by multiplying the length times the width, the total area of the smaller rectangle is 20 * 10 = 200 meters square. The answer is 200.
Question: A shop is offering a discount on pens. If you buy 10 pens at the regular price, you can get the next 10 for half off. A customer came in and bought 20 pens for $30. What's the regular price of one pen in dollars?
Answer: Let p be the cost of a full - priced pen. We know that the first 10 pens are sold at the regular price, so they cost 10 * p. We also know the any pens purchased after the first 10 are half - price, so they cost (20 pens - 10 pens) * p / 2 on those. If we add the cost of the first 10 pens and the pens sold at half - price it equals the total purchase of price of $30 = 10 * p + (20 - 10) * p / 2. Thus, $30 = 10 * p + 10 * p / 2. And, $30 = 10 * p + 5 * p. So, $30 = 15 * p. Finally, p = $2. The answer is 2.
[Question]Marcy spends 12 minutes petting her cat and 1/3 of that time combing it. How many minutes does she spend with her cat in total?
[Answer]First find the time Marcy spends combing the cat: 12 minutes / 3 = 4 minutes. Then add that to the time spent petting the cat to find the total time she spends with it: 4 minutes + 12 minutes = 16 minutes. The answer is 16.
Q: In the last 25 years, 60% of Scrabble champions have been women and the rest have been men. There is one champion per year. Of the men, 40% had a beard. How many men with beards have been Scrabble champion?
A: 40% of champions are men because 100 - 60 = 40. 10 champions have been men because 25 x .4 = 10. 4 champions have been men with beards because 10 x .4 = 4. The answer is 4.
Question: Jack sews 3 shirts for each of his 3 kids. He sews 7 buttons in each shirt. How many buttons must Jack use for all the shirts?
Answer: The total number of shirts for all his kids is 3 * 3 = 9 shirts. The total number of needed buttons is 9 * 7 = 63 buttons. The answer is 63.
Q: Bert made 12 sandwiches for his trip. On the first day, he ate half of the sandwiches he made. The next day he ate 2 sandwiches less. How many sandwiches does Bert have left after these two days?
A:
On the first day, Bert ate 12 / 2 = 6 sandwiches. The second day he ate 6 - 2 = 4 sandwiches. So in total Bert is left with 12 - 6 - 4 = 2 sandwiches. The answer is 2.