Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Alfie buys 3 cakes with a cup of tea at £4. This costs £13. How much does each cake cost? [ \(3x + 4 = 13 \), \(x = 3\)]

Q1) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q1) There are three boys Adam,Bart and Charlie. Bart is 6 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 36. What are their ages? [ Adam is 6, Bart is 12 and Charlie is 18 year old.]

Q2) Kyra buys 5 cakes with a cup of tea at £8. This costs £43. How much does each cake cost? [ \(5y + 8 = 43 \), \(y = 7\)]

Q2) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q2) 6 cakes and 8 biscuits cost the same as 4 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(6c + 8 = 4c + 16\),\(c\) = 4, A cake cost £4.]

Q3) Sharney buys 10 cakes with a cup of tea at £7. This costs £37. How much does each cake cost? [ \(10w + 7 = 37 \), \(w = 3\)]

Q3) Three consecutive numbers sum to 30. What values are these three numbers? [ 9,10 and 11]

Q3) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 48. What are their ages? [ Adam is 10, Bart is 14 and Charlie is 24 year old.]

Q4) Alex buys 7 cakes with a cup of tea at £10. This costs £80. How much does each cake cost? [ \(7z + 10 = 80 \), \(z = 10\)]

Q4) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q4) 9 cakes and 7 biscuits cost the same as 3 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 7 = 3c + 19\),\(c\) = 2, A cake cost £2.]

Q5) McKenzie buys 4 cakes with a cup of tea at £10. This costs £18. How much does each cake cost? [ \(4z + 10 = 18 \), \(z = 2\)]

Q5) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q5) There are three boys Adam,Bart and Charlie. Bart is 6 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 34. What are their ages? [ Adam is 4, Bart is 10 and Charlie is 20 year old.]

Q6) Prabjot buys 8 cakes with a cup of tea at £5. This costs £45. How much does each cake cost? [ \(8w + 5 = 45 \), \(w = 5\)]

Q6) Three consecutive numbers sum to 27. What values are these three numbers? [ 8,9 and 10]

Q6) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 3 years older than Bart. Their ages sum to 26. What are their ages? [ Adam is 5, Bart is 9 and Charlie is 12 year old.]

Q7) Sam buys 2 cakes with a cup of tea at £6. This costs £26. How much does each cake cost? [ \(2y + 6 = 26 \), \(y = 10\)]

Q7) Three consecutive numbers sum to 15. What values are these three numbers? [ 4,5 and 6]

Q7) There are three boys Adam,Bart and Charlie. Bart is 9 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 46. What are their ages? [ Adam is 6, Bart is 15 and Charlie is 25 year old.]

Q8) Hassan buys 3 cakes with a cup of tea at £2. This costs £23. How much does each cake cost? [ \(3x + 2 = 23 \), \(x = 7\)]

Q8) Three consecutive even numbers sum to 12. What values are these three numbers? [ 2,4 and 6]

Q8) There are three boys Adam,Bart and Charlie. Bart is 6 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 41. What are their ages? [ Adam is 7, Bart is 13 and Charlie is 21 year old.]

Q9) Kyra buys 5 cakes with a cup of tea at £2. This costs £42. How much does each cake cost? [ \(5w + 2 = 42 \), \(w = 8\)]

Q9) Three consecutive even numbers sum to 30. What values are these three numbers? [ 8,10 and 12]

Q9) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 50. What are their ages? [ Adam is 7, Bart is 17 and Charlie is 26 year old.]

Q10) Hammid buys 6 cakes with a cup of tea at £9. This costs £69. How much does each cake cost? [ \(6x + 9 = 69 \), \(x = 10\)]

Q10) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q10) 7 cakes and 12 biscuits cost the same as 5 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(7c + 12 = 5c + 16\),\(c\) = 2, A cake cost £2.]