← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 538 · 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 ₹11 more than a pencil. 2 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 9(x + 3) = 6x + 66. What is x?
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  5. 5.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 6 and then take away 39. The answer is 87. What is my number?
  7. 7.Solve for x: 8(x + 9) = 6x + 108. What is x?
  8. 8.6 × ? − 23 = 13
  9. 9.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 4 and then add 8. The answer is 40. What is my number?
  11. 11.Solve for x: 3(x + 6) = x + 44. What is x?
  12. 12.6 × ? + 9 = 93
  13. 13.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 9) = 5x + 129. What is x?
  15. 15.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  16. 16.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  18. 18.4 × ? + 1 = 65
  19. 19.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 6 and then take away 13. The answer is 23. What is my number?
  21. 21.I think of a number, multiply it by 9 and then add 1. The answer is 235. What is my number?
  22. 22.Solve for x: 8(x + 8) = 6x + 104. What is x?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 3 and then add 9. The answer is 63. What is my number?
  26. 26.Nisha has 26 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 8 and then take away 2. The answer is 214. What is my number?
  28. 28.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  30. 30.4 × ? + 9 = 109
  31. 31.I think of a number, multiply it by 2 and then add 2. The answer is 16. What is my number?
  32. 32.I think of a number, multiply it by 6 and then add 37. The answer is 97. What is my number?
  33. 33.Solve for x: 8(x + 3) = 5x + 27. What is x?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 4 and then add 28. The answer is 120. What is my number?
  36. 36.Solve for x: 5(x + 7) = x + 67. What is x?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then add 37. The answer is 69. What is my number?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  40. 40.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?

Answer key

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

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