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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 636 · 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.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 2 and then take away 15. The answer is 33. What is my number?
  3. 3.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  6. 6.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  7. 7.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 2 and then take away 29. The answer is 29. What is my number?
  9. 9.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  11. 11.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  12. 12.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 9 and then take away 4. The answer is 77. What is my number?
  14. 14.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 3 and then add 22. The answer is 37. What is my number?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  19. 19.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 7(x + 4) = 3x + 44. What is x?
  22. 22.4 × ? − 23 = 57
  23. 23.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  25. 25.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  26. 26.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 3(x + 2) = 2x + 12. What is x?
  28. 28.12 × ? + 19 = 115
  29. 29.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  31. 31.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  32. 32.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  35. 35.5 × ? − 30 = 85
  36. 36.I think of a number, multiply it by 5 and then add 2. The answer is 72. What is my number?
  37. 37.4 × ? − 4 = 32
  38. 38.12 × ? + 30 = 174
  39. 39.Solve for x: 8(x + 2) = x + 142. What is x?
  40. 40.I think of a number, multiply it by 6 and then add 8. The answer is 50. What is my number?

Answer key

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

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