Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Steven buys 5 cakes with a cup of tea at £2. This costs £17. How much does each cake cost? [ \(5z + 2 = 17 \), \(z = 3\)]

Q1) Three consecutive numbers sum to 12. What values are these three numbers? [ 3,4 and 5]

Q1) 8 cakes and 9 biscuits cost the same as 5 cakes and 15 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 9 = 5c + 15\),\(c\) = 2, A cake cost £2.]

Q2) Anna buys 7 cakes with a cup of tea at £5. This costs £47. How much does each cake cost? [ \(7z + 5 = 47 \), \(z = 6\)]

Q2) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q2) 9 cakes and 8 biscuits cost the same as 6 cakes and 14 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 8 = 6c + 14\),\(c\) = 2, A cake cost £2.]

Q3) Sabrina buys 10 cakes with a cup of tea at £10. This costs £80. How much does each cake cost? [ \(10x + 10 = 80 \), \(x = 7\)]

Q3) Three consecutive even numbers sum to 12. What values are these three numbers? [ 2,4 and 6]

Q3) 9 cakes and 8 biscuits cost the same as 7 cakes and 18 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 8 = 7c + 18\),\(c\) = 5, A cake cost £5.]

Q4) Anna buys 9 cakes with a cup of tea at £9. This costs £72. How much does each cake cost? [ \(9w + 9 = 72 \), \(w = 7\)]

Q4) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q4) There are three boys Adam,Bart and Charlie. Bart is 8 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 50. What are their ages? [ Adam is 10, Bart is 18 and Charlie is 22 year old.]

Q5) McKenzie buys 7 cakes with a cup of tea at £4. This costs £60. How much does each cake cost? [ \(7x + 4 = 60 \), \(x = 8\)]

Q5) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q5) 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 35. What are their ages? [ Adam is 5, Bart is 11 and Charlie is 19 year old.]

Q6) McKenzie buys 4 cakes with a cup of tea at £7. This costs £27. How much does each cake cost? [ \(4y + 7 = 27 \), \(y = 5\)]

Q6) Three consecutive numbers sum to 30. What values are these three numbers? [ 9,10 and 11]

Q6) 10 cakes and 8 biscuits cost the same as 7 cakes and 14 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 8 = 7c + 14\),\(c\) = 2, A cake cost £2.]

Q7) Steven buys 5 cakes with a cup of tea at £8. This costs £58. How much does each cake cost? [ \(5y + 8 = 58 \), \(y = 10\)]

Q7) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q7) There are three boys Adam,Bart and Charlie. Bart is 8 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 44. What are their ages? [ Adam is 6, Bart is 14 and Charlie is 24 year old.]

Q8) Alfie buys 2 cakes with a cup of tea at £5. This costs £23. How much does each cake cost? [ \(2z + 5 = 23 \), \(z = 9\)]

Q8) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q8) 4 cakes and 3 biscuits cost the same as 2 cakes and 11 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 3 = 2c + 11\),\(c\) = 4, A cake cost £4.]

Q9) Brady buys 2 cakes with a cup of tea at £6. This costs £26. How much does each cake cost? [ \(2x + 6 = 26 \), \(x = 10\)]

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 7 years older than Adam. Charlie is 5 years older than Bart. Their ages sum to 43. What are their ages? [ Adam is 8, Bart is 15 and Charlie is 20 year old.]

Q10) Kyra buys 4 cakes with a cup of tea at £5. This costs £21. How much does each cake cost? [ \(4w + 5 = 21 \), \(w = 4\)]

Q10) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q10) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 49. What are their ages? [ Adam is 10, Bart is 15 and Charlie is 24 year old.]