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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 332 · 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.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 3 and then add 10. The answer is 79. What is my number?
  3. 3.I think of a number, multiply it by 5 and then take away 35. The answer is 90. What is my number?
  4. 4.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  7. 7.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  8. 8.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  10. 10.Dev has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 5) = 2x + 27. What is x?
  14. 14.I think of a number, multiply it by 6 and then take away 32. The answer is 106. What is my number?
  15. 15.2 × ? − 10 = 40
  16. 16.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then add 23. The answer is 77. What is my number?
  18. 18.Solve for x: 5(x + 7) = 3x + 73. What is x?
  19. 19.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  22. 22.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 8 and then take away 38. The answer is 90. What is my number?
  24. 24.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  25. 25.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  27. 27.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  29. 29.Solve for x: 9(x + 2) = 3x + 120. What is x?
  30. 30.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  31. 31.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 8(x + 5) = 2x + 100. What is x?
  33. 33.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 7) = 2x + 92. What is x?
  36. 36.3 × ? + 27 = 57
  37. 37.Solve for x: 3(x + 6) = x + 44. What is x?
  38. 38.I think of a number, multiply it by 3 and then add 22. The answer is 31. What is my number?
  39. 39.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 6 and then add 6. The answer is 120. What is my number?

Answer key

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

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