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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 371 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 4 and then take away 15. The answer is 77. What is my number?
  3. 3.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 6 and then add 16. The answer is 70. What is my number?
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  7. 7.Solve for x: 8(x + 6) = 2x + 90. What is x?
  8. 8.I think of a number, multiply it by 2 and then add 5. The answer is 25. What is my number?
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then add 39. The answer is 90. What is my number?
  11. 11.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.Sneha has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  13. 13.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  14. 14.7 × ? − 21 = 70
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  16. 16.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  17. 17.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 3(x + 8) = x + 32. What is x?
  19. 19.I think of a number, multiply it by 5 and then take away 11. The answer is 104. What is my number?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  22. 22.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  24. 24.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 3(x + 9) = 2x + 39. What is x?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  27. 27.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  29. 29.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 6 and then take away 6. The answer is 18. What is my number?
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  32. 32.9 × ? + 23 = 50
  33. 33.2 × ? − 3 = 7
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 5) = 3x + 39. What is x?
  36. 36.Solve for x: 3(x + 7) = 2x + 23. What is x?
  37. 37.I think of a number, multiply it by 7 and then add 1. The answer is 169. What is my number?
  38. 38.I think of a number, multiply it by 8 and then add 13. The answer is 149. What is my number?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  40. 40.Solve for x: 7(x + 5) = 4x + 80. What is x?

Answer key

  1. 4
  2. 23
  3. 4
  4. 14
  5. 9
  6. 16
  7. 7
  8. 10
  9. 19
  10. 17
  11. 5
  12. 16
  13. 5
  14. 13
  15. 3
  16. 20
  17. 2
  18. 4
  19. 23
  20. 7
  21. 23
  22. 17
  23. 20
  24. 9
  25. 12
  26. 16
  27. 4
  28. 17
  29. 15
  30. 4
  31. 15
  32. 3
  33. 5
  34. 23
  35. 7
  36. 2
  37. 24
  38. 17
  39. 21
  40. 15

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