Q: Texas Integrated School has 15 classes and has 20 students per class. They added five more classes, how many students will they have now?
A: The school has 15 x 20 = 300 students right now. They have an additional 5 x 20 = 100 students after adding 5 more classes. Therefore, Texas Integrated School will have a total of 300 + 100 = 400 students. The answer is 400.
Question: Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?
Answer: Out of the first 100 balls, Ralph was able to hit 2 / 5 of them and not able to hit 3 / 5 of them, 3 / 5 x 100 = 60 tennis balls Ralph didn't hit. Out of the next 75 balls, Ralph was able to hit 1 / 3 of them and not able to hit 2 / 3 of them, 2 / 3 x 75 = 50 tennis balls that Ralph didn't hit. Combined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit. The answer is 110.
[Question]A boxer weighs 97 kg at 4 months from a fight. He is on a diet that allows him to lose 3 kg per month until the day of the fight. How much will he weigh on the day of the fight?
[Answer]In 4 months, he will lose 3 x 4 = 12 kilograms. So his weight will be 97 – 12 = 85 kilograms. The answer is 85.
Q: Ann's favorite store was having a summer clearance. For $75 she bought 5 pairs of shorts for $7 each and 2 pairs of shoes for $10 each. She also bought 4 tops, all at the same price. How much did each top cost?
A: She bought 5 shorts at $7 each so 5 * 7 = $35. She bought 2 pair of shoes at $10 each so 2 * 10 = $20. The shorts and shoes cost her 35 + 20 = $55. We know she spent 75 total and the shorts and shoes cost $55 which left a difference of 75 - 55 = $20. She bought 4 tops for a total of $20 so 20 / 4 = $5. The answer is 5.
Question: A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal.
Answer: The total weight of 20 bars of copper is 20 * 90 = 1800kgs. If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90 + 20 = 110 kgs. If a bar of steel weighs 110 kgs, 20 bars will weigh 20 * 110 = 2200kgs. The total weight of 20 bars of copper and steel is 2200 + 1800 = 4000 kgs. A bar of steel weighs twice the mass of a bar of tin, meaning a bar of tin weighs 110 / 2 = 55 kgs. The total weight of 20 bars of tins is 55 * 20 = 1100 kgs. The total weight of 20 bars of each metal is 4000 + 1100 = 5100 kgs. The answer is 5100.
Q: Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium?
A:
First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft. Then figure out what proportion of the aquarium is full after the cat knocks it over: 1 / 2 * 1 / 2 = 1 / 4. Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1 / 4 = 3 / 4. Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3 / 4 = 54 cubic ft. The answer is 54.