Fractions

  1. A ballpoint pen cost 8 times as much as an exercise book. John spent 2/5 of his money on exercise books and 1/3 of the remainder on 3 ballpoint pens. How many exercise books did he buy?
  2. Ali spent 4/5 of his money on 12 pears and 4 apples. If 1 pear cost twice as much as 1 apple, how many apples could he buy with the rest of his money?
  3. Sulin had a sum of money. She spent 1/5 of it in January, 1/4 of it in February and $220 in March. After spending these amounts of money, she still had $110 left. How much money did she have at first?
  4. A box contained some buttons. 1/4 of them were black, 1/8 of them were red, and the rest were white. There were 48 more white buttons than red buttons. How many buttons were there altogether?
  5. Mrs Wang made some tarts. She sold 3/5 of them in the morning and 1/4 of the remainder in the afternoon. She sold 250 more tarts in the morning than in the afternoon. How many tarts did she make?
  6. 1/4 of the beads in a box are red. There are 24 more yellow beads than red beads in the box. The remaining 76 beads are blue. How many beads are in the box?
  7. Mary took 7 days to read 2/3 of a book. She  took 2 days to read the remaining 90 pagea. On the average, how many pages did she read in one day?
  8. Raju took 2 days to read 1/4 of a book. He took 8 days to read the remaining pages at the rate of 45 pages per day. On the average, how many pages did he read in one day?
  9. Minah had a bag of rice. Her family ate an equal amount of rice each day. After three days, she had 4/5 of the rice left. After another 7 days, she had 24 kg of rice left. How much rice was in the bag at first?
  10. A tank was 1/5 full. When another 700ml of water was poured into the tank, it became 2/3 full. Find the capacity of the tank.
  11. Mr Fu bought some plastic chairs. 1/4 of them were blue and the rest were yellow. He sold 1/2 of the blue chairs and 1/3 of the yellow chairs. There were 50 chairs left. How many chairs did Mr Fu buy?
  12. In January. Samy withdrew 1/4 of his savings from the bank. He spent $450 of it and had $150 left. In February, he deposited half of his monthly salary in the bank and his savings in the bank was $2,450 then. Find his monthly salary.
  13. After a mathematics quiz, Mr Li have the three prize winners a box of pencils to share. The first winner received 2/3 of the pencils plus 1/3 of a pencil. The second winner received 2/3 of the remainder plus 1/3 of a pencil. The third winner received 2/3 of the new remainder plus 1/3 of a pencil. But there were no pencils left after this. How many pencils were there in all?
  14. John had some books. He gave Meimei half of the books plus one book. He gave Mingfa half of the remaining books plus two books. If he had 5 books left after this , how many books had John at first?
  15. The head of a toy dog is 10 cm long. Its tail is as long as its head plus one-half the length of its body. The body is as long as the head and tail together. What is the length of the toy dog?
  16. Davi and Minah had $250 altogether. After Davi spent 2/5 of her money and Minah spent $40, they each had the same amount of money left. How much money did Davihave at first?