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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 879 · 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 ₹10 more than a pencil. 4 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  2. 2.8 × ? − 14 = 154
  3. 3.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  4. 4.6 × ? + 20 = 50
  5. 5.I think of a number, multiply it by 8 and then add 2. The answer is 146. What is my number?
  6. 6.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 7 and then add 1. The answer is 176. What is my number?
  8. 8.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  11. 11.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  14. 14.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 9(x + 4) = x + 44. What is x?
  16. 16.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 4(x + 2) = 2x + 16. What is x?
  18. 18.2 × ? + 3 = 7
  19. 19.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  20. 20.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 7(x + 9) = 6x + 79. What is x?
  22. 22.6 × ? − 20 = 64
  23. 23.I think of a number, multiply it by 5 and then take away 18. The answer is 52. What is my number?
  24. 24.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 8(x + 2) = 2x + 124. What is x?
  26. 26.4 × ? − 11 = 21
  27. 27.Solve for x: 8(x + 8) = x + 204. What is x?
  28. 28.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 3 and then add 8. The answer is 80. What is my number?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  31. 31.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 7 and then take away 13. The answer is 141. What is my number?
  34. 34.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹108 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 130 m. What is its breadth (in m)?
  37. 37.6 × ? + 6 = 18
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  39. 39.8 × ? − 4 = 36
  40. 40.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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