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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 534 · 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 ₹11 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  4. 4.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  5. 5.2 × ? + 26 = 68
  6. 6.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  7. 7.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 9 and then take away 23. The answer is 148. What is my number?
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  11. 11.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 9(x + 4) = 5x + 40. What is x?
  14. 14.Solve for x: 4(x + 6) = 2x + 30. What is x?
  15. 15.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  16. 16.10 × ? + 21 = 131
  17. 17.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  18. 18.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.Solve for x: 6(x + 1) = 2x + 30. What is x?
  21. 21.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 4 and then add 36. The answer is 68. What is my number?
  23. 23.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 5(x + 3) = x + 35. What is x?
  25. 25.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 3 and then take away 11. The answer is 1. What is my number?
  27. 27.Solve for x: 4(x + 7) = 2x + 30. What is x?
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  29. 29.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹318 in all. What does one pencil cost (in ₹)?
  31. 31.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  32. 32.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 4(x + 5) = 3x + 29. What is x?
  34. 34.5 × ? + 24 = 44
  35. 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  36. 36.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 3(x + 7) = 2x + 26. What is x?
  38. 38.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  40. 40.4 × ? − 6 = 90

Answer key

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

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