Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 596 · 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.Solve for x: 7(x + 4) = 5x + 52. What is x?
2. 2.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
3. 3.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
5. 5.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
6. 6.11 × ? − 7 = 114
7. 7.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
8. 8.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
9. 9.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
10. 10.Solve for x: 3(x + 7) = x + 51. What is x?
11. 11.Solve for x: 7(x + 9) = 6x + 73. What is x?
12. 12.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
13. 13.I think of a number, multiply it by 6 and then add 11. The answer is 47. What is my number?
14. 14.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
15. 15.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
16. 16.12 × ? − 27 = 249
17. 17.Solve for x: 5(x + 5) = x + 105. What is x?
18. 18.5 × ? + 14 = 24
19. 19.7 × ? + 29 = 85
20. 20.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
21. 21.Solve for x: 6(x + 3) = x + 108. What is x?
22. 22.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
23. 23.I think of a number, multiply it by 3 and then add 24. The answer is 96. What is my number?
24. 24.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
27. 27.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
28. 28.Solve for x: 6(x + 3) = x + 73. What is x?
29. 29.6 × ? + 13 = 109
30. 30.I think of a number, multiply it by 7 and then add 12. The answer is 222. What is my number?
31. 31.3 × ? + 6 = 12
32. 32.I think of a number, multiply it by 2 and then take away 30. The answer is 10. What is my number?
33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
34. 34.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
35. 35.8 × ? + 17 = 33
36. 36.I think of a number, multiply it by 6 and then add 24. The answer is 168. What is my number?
37. 37.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
38. 38.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
39. 39.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?

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