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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 919 · 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. 5 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  3. 3.10 × ? + 13 = 223
  4. 4.I think of a number, multiply it by 4 and then take away 26. The answer is 90. What is my number?
  5. 5.Solve for x: 9(x + 7) = 4x + 133. What is x?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 4 and then take away 20. The answer is 4. What is my number?
  8. 8.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 4 and then take away 40. The answer is 56. What is my number?
  12. 12.7 × ? − 7 = 77
  13. 13.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  14. 14.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  16. 16.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  17. 17.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  19. 19.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  20. 20.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 8(x + 5) = 2x + 142. What is x?
  22. 22.Solve for x: 3(x + 5) = 2x + 35. What is x?
  23. 23.2 × ? + 15 = 63
  24. 24.Solve for x: 3(x + 6) = 2x + 24. What is x?
  25. 25.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  26. 26.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  28. 28.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 4(x + 7) = x + 31. What is x?
  30. 30.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? − 14 = 4
  32. 32.5 × ? − 27 = 98
  33. 33.Solve for x: 7(x + 9) = 6x + 70. What is x?
  34. 34.I think of a number, multiply it by 5 and then add 38. The answer is 133. What is my number?
  35. 35.I think of a number, multiply it by 6 and then add 20. The answer is 56. What is my number?
  36. 36.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 5 and then add 10. The answer is 25. What is my number?
  38. 38.I think of a number, multiply it by 3 and then take away 7. The answer is 50. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 12. The answer is 24. What is my number?
  40. 40.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?

Answer key

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

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