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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 74 · 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. 1.11 × ? + 28 = 193
  2. 2.4 × ? + 18 = 50
  3. 3.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  4. 4.9 × ? + 9 = 108
  5. 5.I think of a number, multiply it by 9 and then add 31. The answer is 76. What is my number?
  6. 6.I think of a number, multiply it by 5 and then add 9. The answer is 24. What is my number?
  7. 7.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 8 and then add 38. The answer is 110. What is my number?
  9. 9.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  10. 10.3 × ? + 20 = 35
  11. 11.12 × ? + 28 = 88
  12. 12.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  13. 13.Zoya has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  14. 14.2 × ? − 2 = 2
  15. 15.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 4(x + 7) = 3x + 44. What is x?
  17. 17.12 × ? + 30 = 330
  18. 18.7 × ? − 15 = 20
  19. 19.8 × ? + 9 = 73
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  21. 21.Priya has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 9 and then add 30. The answer is 147. What is my number?
  23. 23.I think of a number, multiply it by 8 and then take away 17. The answer is 15. What is my number?
  24. 24.Solve for x: 6(x + 1) = 3x + 60. What is x?
  25. 25.4 × ? − 10 = 38
  26. 26.2 × ? + 25 = 55
  27. 27.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 6 and then add 18. The answer is 120. What is my number?
  29. 29.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 4(x + 6) = 3x + 31. What is x?
  34. 34.Solve for x: 3(x + 8) = x + 32. What is x?
  35. 35.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  36. 36.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 3 and then add 3. The answer is 36. What is my number?
  38. 38.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  39. 39.3 × ? + 28 = 85
  40. 40.I think of a number, multiply it by 8 and then take away 17. The answer is 143. What is my number?

Answer key

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

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