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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 508 · 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 ₹7 more than a pencil. 2 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then add 30. The answer is 85. What is my number?
  3. 3.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  4. 4.Vivaan has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 6(x + 7) = x + 92. What is x?
  6. 6.8 × ? + 11 = 115
  7. 7.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 7 and then take away 37. The answer is 152. What is my number?
  10. 10.4 × ? − 5 = 75
  11. 11.2 × ? + 17 = 23
  12. 12.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  14. 14.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  16. 16.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  18. 18.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 6(x + 3) = 2x + 94. What is x?
  21. 21.I think of a number, multiply it by 8 and then add 32. The answer is 48. What is my number?
  22. 22.Solve for x: 6(x + 4) = 5x + 28. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 36. The answer is 211. What is my number?
  24. 24.3 × ? − 29 = 19
  25. 25.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  26. 26.9 × ? + 6 = 222
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  28. 28.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 9(x + 1) = 2x + 51. What is x?
  30. 30.Solve for x: 3(x + 1) = x + 13. What is x?
  31. 31.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 7 and then take away 35. The answer is 63. What is my number?
  33. 33.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  35. 35.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  38. 38.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 6 and then take away 8. The answer is 94. What is my number?
  40. 40.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹155 in all. What does one pencil cost (in ₹)?

Answer key

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

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