← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 980 · 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 ₹5 more than a pencil. 5 pens and 7 pencils cost ₹253 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 4(x + 5) = x + 47. What is x?
  3. 3.Solve for x: 8(x + 9) = 7x + 83. What is x?
  4. 4.I think of a number, multiply it by 3 and then take away 9. The answer is 3. What is my number?
  5. 5.Solve for x: 6(x + 9) = 2x + 122. What is x?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  7. 7.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  10. 10.Solve for x: 7(x + 1) = 3x + 43. What is x?
  11. 11.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 3 and then take away 29. The answer is 7. What is my number?
  13. 13.11 × ? − 30 = 234
  14. 14.Solve for x: 6(x + 2) = 3x + 27. What is x?
  15. 15.12 × ? + 24 = 300
  16. 16.I think of a number, multiply it by 8 and then add 38. The answer is 78. What is my number?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  19. 19.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  21. 21.7 × ? − 14 = 161
  22. 22.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  23. 23.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 2 and then add 10. The answer is 26. What is my number?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  28. 28.Solve for x: 8(x + 6) = 5x + 69. What is x?
  29. 29.8 × ? + 30 = 126
  30. 30.I think of a number, multiply it by 7 and then take away 23. The answer is 117. What is my number?
  31. 31.Solve for x: 9(x + 9) = 4x + 136. What is x?
  32. 32.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  33. 33.12 × ? + 5 = 113
  34. 34.Solve for x: 6(x + 6) = 4x + 44. What is x?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 3 and then take away 15. The answer is 21. What is my number?
  37. 37.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  38. 38.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  39. 39.3 × ? − 4 = 14
  40. 40.11 × ? − 9 = 211

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude