Q: Hans booked a room in a hotel. The hotel has 10 floors with 10 identical rooms on each floor. Because of an accident, the last floor is unavailable for the guests. Considering there are no other guests, in how many different rooms could Hans be checked in?
A: The hotel has in total 10 floors * 10 rooms / floor = 100 rooms. One floor is unavailable, so Hans could be checked into 100 rooms - 10 rooms = 90 available rooms. The answer is 90.
Question: Mark and his sister Chris both leave their house for school at the same time. Mark travels at the same speed as Chris, who walks 3 miles per hour. After walking 3 miles Mark has to turn around and go home because he forgot his lunch. If the distance from their house to the school is 9 miles, how much longer does Mark spend walking than Chris?
Answer: First find the total number of miles Mark walks to get his lunch by multiplying the distance he walks back to the house by 2: 3 miles * 2 = 6 miles. Then find the total distance Mark walks by adding that distance to the distance between the house and the school: 6 miles + 9 miles = 15 miles. Now divide the total distance Mark walks by his speed to find how many hours he spends walking: 15 miles / 3 miles / hour = 5 hours. Now divide the total distance Chris walks by her speed to find the total time she spends walking: 9 miles / 3 miles / hour = 3 hours. Now subtract the time Chris spends walking from the time Mark spends walking to find the difference: 5 hours - 3 hours = 2. The answer is 2.
[Question]Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits combined, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What the total number of animals that Josie counted?
[Answer]The number of rabbits was 80 + 34 = 114. The total number of rabbits and antelopes is 114 + 80 = 194. The number of hyenas was 42 fewer than the combined number of antelopes and rabbits, which is 194 - 42 = 152. The number of wild dogs was 50 more than the number of hyenas, that is 152 + 50 = 202. The number of leopards is 1 / 2 * 114 = 57. The total number of animals Josie saw is 57 + 202 + 152 + 114 + 80 = 605. The answer is 605.
Q: Jake and Penny are hunting snakes. Jake's snake is 12 inches longer than Jenny's snake. If the two snakes have a combined length of 70 inches, how long is Jake's snake?
A: Let j be the length of Jake's snake and p be length of Penny's snake. We know that j + p = 70, and j = p + 12. We can substitute the second equation into the first equation to get p + 12 + p = 70. Combining like terms, we get 2p + 12 = 70. Subtracting 12 from both sides, we get 2p = 58. Dividing both sides by 2, we get p = 58 / 2 = 29 inches. Penny's snake is 29 inches. Substituting that length in to the equation j = p + 12, we get j = 29 inches + 12 inches = 41 inches. The answer is 41.
Question: While preparing for a meeting, Bill fills Dixie cups with water from out of a water cooler. The water cooler initially contains 3 gallons of water, and each Dixie cup holds 6 ounces of water. If Bill fills one cup of water per each meeting chair, and there are 5 rows of meeting chairs with 10 chairs in each row, then how many ounces of water will be left in the cooler after all cups have been are filled? (There are 128 ounces in a gallon.)
Answer: First find the total number of ounces in the water cooler: 3 gallons * 128 ounces / gallon = 384 ounces. Then find the total number of dixie cups Bill pours: 5 rows * 10 chairs / row = 50 chairs. Then find the total number ounces Bill pours: 50 attendees * 6 ounces / attendee = 300 ounces. Then subtract the amount of water Bill pours from the cooler from the initial amount to find the final amount: 384 ounces - 300 ounces = 84 ounces. The answer is 84.
Q: Tom decides to take 10 dance lessons that cost $10 each, but he gets two of them for free. How much does he pay?
A:
He paid for 10 - 2 = 8 lessons. That means he pays 8 * $10 = $80. The answer is 80.