Q: Andrew's dog has 12 burrs and six times as many ticks as burrs. How many foreign objects total are caught in the dog's fur?
A: First find how many burrs are caught in the dog's fur: 12 burrs * 6 ticks / burr = 72 ticks. Then add the number of burrs to find the total number objects: 72 objects + 12 objects = 84 objects. The answer is 84.
Question: Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. The products are very delicate and must be carefully packed, so partially filled boxes can’t be shipped. Steven has three trucks that can be sent on each delivery. Each truck can carry a load of no more than 2,000 pounds of cargo. Some of the boxes weigh 10 pounds after being packed, and some of the boxes weigh 40 pounds when packed. Steven’s customer has ordered equal quantities of both the lighter and heavier products. How many boxes of products can Steven ship to his customer in each delivery?
Answer: Each pair of boxes weighs 40 pounds + 10 pounds, or 50 pounds. Each pair weighs 50 pounds, so the delivery trucks can carry 2000 / 50 pairs of boxes or 40 pairs. Steven has three trucks, so each trip can move 40 * 3 pairs of boxes = 120 pairs of boxes. Each pair is a set of two boxes, so each delivery contains 120 * 2 boxes = 240 boxes. The answer is 240.
[Question]Matt needs to buy new plates for his home. He only wants to do dishes once a week. Three days a week it is only him and his son eating and they use 1 plate each. On the remainder of the days, his parents join them and everyone uses 2 plates that day. How many plates does he need to buy?
[Answer]So for 3 of the days, there are 1 + 1 = 2 people eating. So for those days they use 3 * 2 = 6 plates. On 7 - 3 = 4 days the parents join them. On those days there are 2 + 2 = 4 people eating. They use 4 * 2 = 8 plates. So they use 8 * 4 = 32 plates. That means they use a total of 32 + 6 = 38 plates. The answer is 38.
Q: How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides?
A: A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1 / 2) x 2 x 2 = 2. The square has an area of 4 square inches because 2 x 2 = 4. 2 triangles would fit because 4 / 2 = 2. The answer is 2.
Question: Rob and Mark plan to meet at the national park. It takes 1 hour for Rob to get to the national park and it takes three times as much time for Mark to get to the national park. If Rob leaves his home at 11 a.m., at what time should Mark leave his home so that they both arrive at the same time?
Answer: It takes 1 hour * 3 = 3 hours for Mark to get to the national park. The extra time it takes Mark to get to the national park is 3 hours - 1 hour = 2 hours. Mark should leave his home at 11 a.m. - 2 hours = 9 a.m. The answer is 9.
Q: Edmonton is 220 kilometers north of Red Deer. Calgary is 110 kilometers south of Red Deer. If you travel at 110 kilometers per hour, how long will it take to get from Edmonton to Calgary?
A:
Total distance travelled is 220km + 110km = 330 km. Time to travel that far is 330km / 110km / hour = 3 hours. The answer is 3.