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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 312 · 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 ₹8 more than a pencil. 4 pens and 3 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  3. 3.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 5(x + 4) = 2x + 47. What is x?
  5. 5.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  7. 7.2 × ? + 29 = 47
  8. 8.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 7(x + 2) = 6x + 32. What is x?
  10. 10.I think of a number, multiply it by 4 and then add 38. The answer is 158. What is my number?
  11. 11.9 × ? + 13 = 157
  12. 12.I think of a number, multiply it by 7 and then take away 26. The answer is 65. What is my number?
  13. 13.2 × ? + 17 = 23
  14. 14.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then take away 25. The answer is 75. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 17. The answer is 21. What is my number?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  18. 18.6 × ? + 13 = 127
  19. 19.I think of a number, multiply it by 6 and then add 35. The answer is 95. What is my number?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  21. 21.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  22. 22.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  23. 23.11 × ? − 4 = 117
  24. 24.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  25. 25.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 4(x + 6) = 2x + 44. What is x?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  28. 28.12 × ? + 28 = 208
  29. 29.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 8 and then add 20. The answer is 196. What is my number?
  31. 31.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 5(x + 6) = x + 110. What is x?
  33. 33.Solve for x: 5(x + 8) = 2x + 73. What is x?
  34. 34.I think of a number, multiply it by 6 and then add 6. The answer is 144. What is my number?
  35. 35.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 5 and then take away 8. The answer is 132. What is my number?
  38. 38.Solve for x: 9(x + 6) = 8x + 58. What is x?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  40. 40.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?

Answer key

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

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