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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 351 · 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 ₹14 more than a pencil. 6 pens and 4 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 6 and then add 11. The answer is 83. What is my number?
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 9(x + 7) = 3x + 105. What is x?
  5. 5.I think of a number, multiply it by 8 and then take away 15. The answer is 137. What is my number?
  6. 6.I think of a number, multiply it by 5 and then add 18. The answer is 88. What is my number?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  9. 9.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  10. 10.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 5 and then take away 9. The answer is 51. What is my number?
  14. 14.I think of a number, multiply it by 2 and then take away 6. The answer is 14. What is my number?
  15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  16. 16.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  18. 18.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  19. 19.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  20. 20.4 × ? − 1 = 75
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  22. 22.9 × ? − 24 = 111
  23. 23.Solve for x: 8(x + 5) = 2x + 64. What is x?
  24. 24.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  25. 25.2 × ? + 9 = 57
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 3 and then add 7. The answer is 19. What is my number?
  28. 28.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  30. 30.9 × ? − 14 = 4
  31. 31.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then take away 17. The answer is 37. What is my number?
  37. 37.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  38. 38.11 × ? − 14 = 107
  39. 39.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 8(x + 5) = 6x + 78. What is x?

Answer key

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

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