Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 783 · 40 questions

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.

1. 1.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
2. 2.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
3. 3.Solve for x: 4(x + 3) = 2x + 44. What is x?
4. 4.9 × ? + 19 = 82
5. 5.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
6. 6.Solve for x: 8(x + 2) = 4x + 40. What is x?
7. 7.9 × ? + 11 = 38
8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
9. 9.I think of a number, multiply it by 5 and then add 2. The answer is 87. What is my number?
10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
11. 11.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
12. 12.I think of a number, multiply it by 7 and then take away 22. The answer is 83. What is my number?
13. 13.Solve for x: 4(x + 1) = 2x + 16. What is x?
14. 14.I think of a number, multiply it by 4 and then take away 29. The answer is 91. What is my number?
15. 15.I think of a number, multiply it by 4 and then add 7. The answer is 71. What is my number?
16. 16.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
17. 17.6 × ? + 16 = 154
18. 18.Isha has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
19. 19.I think of a number, multiply it by 8 and then take away 8. The answer is 184. What is my number?
20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
21. 21.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
22. 22.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹238 in all. What does one pencil cost (in ₹)?
23. 23.5 × ? + 2 = 37
24. 24.I think of a number, multiply it by 5 and then add 22. The answer is 92. What is my number?
25. 25.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
26. 26.4 × ? + 7 = 71
27. 27.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹285 in all. What does one pencil cost (in ₹)?
28. 28.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
29. 29.Solve for x: 5(x + 9) = 3x + 51. What is x?
30. 30.I think of a number, multiply it by 3 and then take away 4. The answer is 68. What is my number?
31. 31.6 × ? + 28 = 112
32. 32.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
33. 33.Solve for x: 6(x + 9) = 4x + 68. What is x?
34. 34.Solve for x: 3(x + 8) = x + 58. What is x?
35. 35.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
36. 36.10 × ? + 8 = 68
37. 37.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
38. 38.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
40. 40.I think of a number, multiply it by 8 and then add 11. The answer is 107. What is my number?

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