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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 593 · 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. 1.4 × ? + 30 = 90
  2. 2.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  3. 3.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  4. 4.6 × ? + 23 = 65
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  6. 6.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 5(x + 3) = 4x + 18. What is x?
  8. 8.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 4 and then take away 1. The answer is 91. What is my number?
  10. 10.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then add 12. The answer is 156. What is my number?
  12. 12.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 7 and then take away 24. The answer is 151. What is my number?
  17. 17.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 3(x + 2) = x + 28. What is x?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  20. 20.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 9 and then add 32. The answer is 239. What is my number?
  22. 22.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  23. 23.4 × ? − 20 = 24
  24. 24.6 × ? − 15 = 33
  25. 25.3 × ? + 24 = 51
  26. 26.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  28. 28.11 × ? − 21 = 56
  29. 29.12 × ? + 30 = 126
  30. 30.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 2 and then add 14. The answer is 22. What is my number?
  32. 32.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  35. 35.12 × ? + 5 = 209
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  37. 37.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  38. 38.12 × ? + 7 = 91
  39. 39.Solve for x: 4(x + 5) = 3x + 26. What is x?
  40. 40.I think of a number, multiply it by 2 and then add 40. The answer is 78. What is my number?

Answer key

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

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