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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 411 · 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 ₹6 more than a pencil. 2 pens and 6 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  2. 2.9 × ? − 13 = 50
  3. 3.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 3(x + 1) = x + 19. What is x?
  9. 9.I think of a number, multiply it by 3 and then take away 39. The answer is 39. What is my number?
  10. 10.I think of a number, multiply it by 5 and then add 14. The answer is 104. What is my number?
  11. 11.5 × ? + 12 = 22
  12. 12.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  13. 13.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹271 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 3(x + 5) = x + 43. What is x?
  15. 15.10 × ? + 28 = 158
  16. 16.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  17. 17.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 6 and then take away 36. The answer is 96. What is my number?
  19. 19.3 × ? + 10 = 37
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then add 3. The answer is 31. What is my number?
  22. 22.Solve for x: 9(x + 7) = 3x + 87. What is x?
  23. 23.2 × ? + 26 = 72
  24. 24.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 4(x + 1) = 3x + 6. What is x?
  27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  28. 28.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  30. 30.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 8 and then add 40. The answer is 152. What is my number?
  33. 33.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  34. 34.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  35. 35.2 × ? + 26 = 40
  36. 36.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  37. 37.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then take away 3. The answer is 15. What is my number?
  40. 40.9 × ? − 18 = 171

Answer key

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

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