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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 439 · 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.Solve for x: 6(x + 6) = 3x + 60. What is x?
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  5. 5.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  7. 7.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  8. 8.11 × ? − 28 = 203
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  12. 12.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.12 × ? + 16 = 280
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then add 7. The answer is 157. What is my number?
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  17. 17.2 × ? + 21 = 27
  18. 18.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  21. 21.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  22. 22.8 × ? − 13 = 11
  23. 23.Solve for x: 5(x + 4) = 3x + 28. What is x?
  24. 24.9 × ? + 16 = 133
  25. 25.Solve for x: 7(x + 3) = 3x + 33. What is x?
  26. 26.Solve for x: 3(x + 7) = 2x + 22. What is x?
  27. 27.A pen costs ₹13 more than a pencil. 6 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 6(x + 3) = 4x + 30. What is x?
  29. 29.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  32. 32.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  34. 34.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then add 7. The answer is 91. What is my number?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  38. 38.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 4 and then add 34. The answer is 66. What is my number?

Answer key

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

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