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This Lesson (OVERVIEW of the first group of lessons on arithmetic word problems) was created by by ikleyn(52818)
  About ikleyn: OVERVIEW of the first group of lessons on arithmetic word problemsBelow is the list of my lessons on arithmetic word problems in this site: Arithmetic word problems to solve them MENTALLY Solving arithmetic word problems by reasoning Simple arithmetic word problems solved in a right way Arithmetic coin problems Simple arithmetic word problems on "rate of work" Simple and simplest arithmetic Travel & Distance problems Typical arithmetic Travel & Distance problems Entertaining catching up arithmetic Travel & Distance problems Other basic arithmetic Travel & Distance problems Advanced arithmetic word problems on Travel & Distance Finding travel time and average rate Flying back and forth List of lessons with short annotationsArithmetic word problems to solve them MENTALLY Problem 1. There are a total of 20 lions, tigers, and bears at the local zoo. The number of tigers is 2 more than the number of lions. The number of bears is 3 more than the number of lions. How many lions are at the zoo? Problem 2. The sum of two numbers is 92, their difference is 20. Find the numbers. Problem 3. Gopal had twice as many 50c coins as 20c coins. He also had 5 times as many 10c coins as 50c coins. If he had $15.40, how many 50c coins did he have? Problem 4. A deli is offering a special for its sandwiches. A customer will receive three free sandwiches for every five sandwiches purchased. Jane ordered 101 sandwiches for an office party. How many sandwiches did Jane have to pay for? Problem 5. Xavier works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 28 strands of lights to decorate 4 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 1 tree, using a total of 24 strands of lights. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Xavier use on each bush and on each tree ? Problem 6. The glee club needs to raise money for the spring trip to Europe, so the members are assembling holiday wreaths to sell. Before lunch, they assembled 12 regular wreaths and 20 deluxe wreaths, which used a total of 168 pinecones. After lunch, they assembled 12 regular wreaths and 15 deluxe wreaths, using a total of 138 pinecones. How many pinecones are they putting on each wreath? Solving arithmetic word problems by reasoning Problem 1. An advertisement from the back of Denton checklist: (1) $1300 sofa and love seat (2) $1400 sofa and two chairs (3) $1600 sofa, love seat, one chair How much does each piece of furniture cost individually? Problem 2. Ben earns 20 cents for every card he sells. When he sells a whole box of 12 cards he earns an extra $2. How many cards does he need to sell to earn $332 ? Problem 3. The ratio of the number of blue sticks to the number of green sticks in a box was 4:1. When David took out some blue and sticks and replaced them with an equal number of green sticks, the ratio of the number of blue sticks to the number of green sticks became 3:1. If there were 185 green sticks in the box now, (a) find the total number of blue and green sticks in the box, (b) find the number of green sticks in the box at first. Problem 4. Marty’s age is 36, which is 12 more than 4 times Daisy’s age. How old is Daisy? Simple arithmetic word problems solved in a right way Problem 1. If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $7, and a loaf of bread, two bags of oranges and a basket of apples costs $17, what is the cost of a basket of apples? Problem 2. If a patient takes 1/2 teaspoon orally every 8 hours, then for how many days a supply of 60 mL of the medication will last ? Problem 3. Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. For how many days this supply will last ? Problem 4. A soap manufacturer spent 60000 rupees on radio, magazine and TV advertising. If he spent as much on TV advertising as on magazines and radio together, and spent on magazines and TV combined equals five times that spent on radio, what was the amount spent on each type of advertising? Problem 5. Sarah has $5.25 worth of change in nickels and dimes. If she has 3 times as many nickels as dimes, how many of each type of coin does she have? Problem 6. A total of 320 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? Problem 7. A fish tank has a base area of 4500 cm^2 and is filled with water to a depth of 12 cm. If the height of the tank is 25 cm, how much more water is needed to fill the tank to the brim? Problem 8. A fish tank in a pet store was less than half full of water when a worker turned on a hose to fill the tank at a constant rate. After the hose was on for 5 minutes, the tank was exactly half full. After the hose was on for 30 minutes, the tank was three-quarters full. How many minutes did it take after the hose was turned on for the tank to be completely filled with water? Problem 9. A man travels in one direction for 8 hours at a rate of 100 miles per hour, and then returns back. If his average speed for the whole trip is 80 miles per hour, then how long does his return trip take? Problem 10. A baker needs 4 eggs to make a cake, and 6 eggs to make a flan. The baker purchases eggs in cartons of 12. If the baker wants to make 8 cakes and 6 flans, what is the minimum number of cartons the baker must purchase? Problem 11. An appliance store sells additional warranties on its refrigerators. twenty percent of the buyers buy the limited warranty for $100 and 5% buy the extended warranty for $200. What is the expected revenue for the store from the warranty if it sells 120 refrigerators? Problem 12. A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 17956 in3. How big a piece of cardboard is needed? Arithmetic coin problems Problem 1. A collection of coins has five nickels and 7 dimes. Find the total value of the coins. Problem 2. Andrew has seven dimes and 5 quarters. Find the total value of the coins. Problem 3. A collection of coins has several nickels and 7 dimes. The total value of the coins is 95 cents. Find the number of nickels in the collection. Problem 4. Alisa has 7 dimes and several quarters. The total value of coins Alisa has is $1.45 cents. Find the number of quarters Alisa has. Problem 5. There are several nickels and equal number of dimes. Altogether, they comprise $1.35. How many nickels are there? How many dimes? Problem 6. There are several dimes and equal number of quarters. Altogether, they comprise $1.05. How many dimes are there? How many quarters? Problem 7. There are several nickels and three times as many dimes as nickels. Altogether, they comprise $1.40. How many nickels are there? How many dimes? Problem 8. There are several nickels and three times as many quarters as nickels. Altogether, they comprise $2.40. How many nickels are there? How many quarters? Problem 9. Roberta has 4 dollars in dimes and quarters. She has 5 more dimes than quarters. In total, Roberta has 25 coins. How many coins of each designation does Roberta have? Problem 10. There are several nickels and two more than three times as many quarters as nickels. Altogether, they comprise $3.70. How many nickels are there? How many quarters? Problem 11. There are several dimes and three more than two times as many quarters as dimes. Altogether, they comprise $4.35. How many dimes are there? How many quarters? Problem 12. Gopal had twice as many 50c coins as 20c coins. He also had 5 times as many 10c coins as 50c coins. If he had $15.40 in total, how many 50c coins did he have. Simple arithmetic word problems on "rate of work" Problem 1. A farmer ploughs his land in 12 days if he uses 5 tractors. How long will it take if he uses only 3 tractors? Problem 2. 25 men start a job which they can finish in 40 days. After 16 days 10 men leave. How many days in total did it take for the entire job to be finished? Problem 3. A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job? Problem 4. Eight man take 12 days to cultivate a piece of land. After working for 3 days, 10 more man were employed. How long will it take to 18 man to cultivate the rest of the land ? Problem 5. If 18 pumps can raise 2170 tons of water in 10 days, working 7 hours a day, in how many days will 16 pumps raise 1736 tons of water, working 9 hours a day? Problem 6. Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job 6 days earlier. If the job needs to be completed 32 days earlier, how many additional workers should be hired? Simple and simplest arithmetic Travel & Distance problems Problem 1. A car moves from A to B at the rate of 60 miles per hour. It took 4 hours to reach B. Find the distance from A to B. Problem 2. The distance between the cities A and B is 195 miles. A car moves from A to B at the rate of 65 miles per hour. How long will it take for the car to reach B? Problem 3. The distance between the cities A and B is 300 miles. A car covered the distance from A to B in 5 hours. Find the average speed of the car. Problem 4. A driver travels 288 miles in 6 hours. What is the average speed, in miles per hour? Problem 5. Two cars entered an Interstate highway at the same time and traveled toward each other The initial distance between the cars was 390 miles. The first car was running at the speed 70 miles per hour, the second car was running at 60 miles per hour. How long will it take for the two cars to pass each other? Problem 6. Two motorcycles travel toward each other from cities that are about 950 km apart at rates of 100 km/h and 90 km/h. They started at the same time. In how many hours will they meet? Problem 7. Two planes start from the same point and fly in opposite directions. One travels at 475 mi/h and the other at 525 mi/h. How long will it take before they are 3000 miles apart? Problem 8. Ming left the hospital at the same time as Adam. They drove in opposite directions. Adam drove at a speed of 50 km. After two hours they were 180 km apart. How fast did Ming drive ? Typical arithmetic Travel & Distance problems Problem 1. Two cars entered an Interstate highway at the same time at different locations and traveled in the same direction. The initial distance between cars was 40 miles. First car was running 70 miles per hour, the second car was running 60 miles per hour. How long will it take for the first car to catch up the second one? Problem 2. A car leaves a city 20 minutes after a truck leaves the same city. The truck is traveling at an average speed of 60 km/h and the car is traveling at an average speed of 80 km/h. How long will it take for the car to overtake the truck? Problem 3. A long-distance runner started on a course at an average speed of 8 mph. Half an hour later, a second runner began the same course at an average speed of 10 mph. How long after the second runner starts will the second runner overtake the first runner? Entertaining catching up arithmetic Travel & Distance problems Problem 1. A wolf notices a hare 50 meters away and starts chasing the hare. At the same moment, the hare sees the wolf and starts running away. The wolf and the hare run in a same straight line. The wolf runs at a speed of 4 meters per second. The hare runs at a speed of 3 meters per second. How long will it take the wolf to catch up with the hare? Problem 2. A patrol boat spots a poacher's boat and heads towards it; the poacher's boat tries to escape. Both boats are moving in a straight line; the initial distance between them is 2 kilometers The poacher's boat is moving at 20 kilometers per hour. The patrol boat is moving at 24 kilometers per hour. How long will it take the patrol boat to catch up with the poacher's boat? Other basic arithmetic Travel & Distance problems Problem 1. A train moves at the speed of 36 kilometers per hour. It takes for the train 12 seconds to pass a telegraph post. Find the length of the train. Problem 2. A train has the length of 96 meters. It moves uniformly with a constant speed. It takes for the train 12 seconds to pass a telegraph post. Find the speed of the train. Problem 3. A train which has a length of 90 meters is traveling at a speed of 36 kilometers per hour. It passes a platform 120 meters long. How long does it take the train to pass the platform from the moment the front of the train comes up to the closest end of the platform to the moment the rear of the train comes up to the other end of the platform? Problem 4. A train which has a length of 120 meters is traveling at a speed of 54 kilometers per hour. It passes a tunnel 180 meters long. How long does it take the train to pass the tunnel from the moment the front of the train comes up to the closest end of the tunnel to the moment the rear of the train comes up to the other end of the tunnel? Problem 5. It took a train 65 seconds from starting to cross a bridge of length 1440 m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680 m tunnel to completely pass through the tunnel. Find the speed of the train and the length of the train. Problem 6. Two trains are approaching each other on parallel tracks. Train A is 1/5 of a mile in length. It travels east at a speed of 40 mph. Train B is 1/8 of a mile in length. It travels west at a speed of 50 mph. Advanced arithmetic word problems on Travel & Distance Problem 1. You live 20 miles from work and have 25 minutes to get there and 3 /4 of the trip is on the freeway. The other 1/4 of the trip is in residential with the maximum speed of 30 mph. How fast would you need to drive on the freeway in order to make it on time? Problem 2. John and Lester were cycling towards the finish line. 15 km from the end John passed Lester. John reached the end 45 minutes earlier than Lester, who was still 9 km from the end. What was John's speed after overtaking Lester? Problem 3. Mary and Murray travel with some velocities heading directly towards each other across a distance of 240 km. If both start at 9 a.m., they will meet at noon. If Murray starts at 8 a.m. and Mary starts at 10 a.m., they will meet at 12:30 p.m. Find their velocities. Finding travel time and average rate Problem 1. Every day, Betty travels 25 km from her apartment to the office. She travels 20 kilometers by car at 40 km/h, parks at the car park, and then walks at 5 km/h the rest of the way to work. If Betty leaves her home at 6:30 a.m., at what time does she arrive at work? Problem 2. A delivery van traveled 20 miles at an average speed of 50 miles per hour. Then it traveled 10 miles at the average speed of 20 miles per hour. Find the travel time of the whole trip. Problem 3. A boat travels 15 km/h in still water. This boat goes 10 kilometers upstream in a river, which has the current rate of 5 km/h, and then returns back downstream to its starting point. (a) What is the travel time for the whole trip in? (b) what is the average rate of the whole trip? Flying back and forth Problem 1. Joe and Frank want to meet each other half way between their cities. The distance between their towns is 36 miles. Both travel at 6 miles per hour. Joe takes a carrier pigeon and sets it off toward Frank. The pigeon travels at 18 miles an hour. When it reaches Frank it turns around immediately and returns to Joe. What is the distance the pigeon covers when the two friends meet? The pigeon does not take a rest. Problem 2. Two bees leave simultaneously two locations 150 meters apart and fly, without stopping, back and forth between these two locations at average speeds of 3 meters per second and 5 meters per second, respectively. (a) How long is it until the bees meet for the first time? (b) How long is it until they meet for the second time? To see the whole list of lessons on arithmetic problems, use this link Arithmetic problems - YOUR ONLINE TEXTBOOK It is your way to the entry page of the online textbook on Arithmetic problems. This lesson has been accessed 1728 times. |
