Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Eva buys 2 cakes with a cup of tea at £5. This costs £21. How much does each cake cost? [ \(2z + 5 = 21 \), \(z = 8\)]

Q1) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q1) 6 cakes and 3 biscuits cost the same as 3 cakes and 18 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(6c + 3 = 3c + 18\),\(c\) = 5, A cake cost £5.]

Q2) Nathan buys 10 cakes with a cup of tea at £2. This costs £102. How much does each cake cost? [ \(10w + 2 = 102 \), \(w = 10\)]

Q2) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q2) 6 cakes and 6 biscuits cost the same as 3 cakes and 18 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(6c + 6 = 3c + 18\),\(c\) = 4, A cake cost £4.]

Q3) Anna buys 9 cakes with a cup of tea at £9. This costs £36. How much does each cake cost? [ \(9z + 9 = 36 \), \(z = 3\)]

Q3) Three consecutive even numbers sum to 30. What values are these three numbers? [ 8,10 and 12]

Q3) 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 47. What are their ages? [ Adam is 9, Bart is 15 and Charlie is 23 year old.]

Q4) Ariel buys 4 cakes with a cup of tea at £7. This costs £27. How much does each cake cost? [ \(4w + 7 = 27 \), \(w = 5\)]

Q4) Three consecutive numbers sum to 30. What values are these three numbers? [ 9,10 and 11]

Q4) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 29. What are their ages? [ Adam is 6, Bart is 7 and Charlie is 16 year old.]

Q5) Brady buys 3 cakes with a cup of tea at £8. This costs £35. How much does each cake cost? [ \(3w + 8 = 35 \), \(w = 9\)]

Q5) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q5) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 3 years older than Bart. Their ages sum to 50. What are their ages? [ Adam is 9, Bart is 19 and Charlie is 22 year old.]

Q6) Luke buys 2 cakes with a cup of tea at £3. This costs £19. How much does each cake cost? [ \(2z + 3 = 19 \), \(z = 8\)]

Q6) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q6) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 38. What are their ages? [ Adam is 9, Bart is 10 and Charlie is 19 year old.]

Q7) Jonathan buys 10 cakes with a cup of tea at £10. This costs £70. How much does each cake cost? [ \(10z + 10 = 70 \), \(z = 6\)]

Q7) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q7) There are three boys Adam,Bart and Charlie. Bart is 2 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 35. What are their ages? [ Adam is 9, Bart is 11 and Charlie is 15 year old.]

Q8) Julie buys 3 cakes with a cup of tea at £9. This costs £18. How much does each cake cost? [ \(3z + 9 = 18 \), \(z = 3\)]

Q8) Three consecutive numbers sum to 24. What values are these three numbers? [ 7,8 and 9]

Q8) 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 31. What are their ages? [ Adam is 4, Bart is 11 and Charlie is 16 year old.]

Q9) Sharney buys 2 cakes with a cup of tea at £10. This costs £24. How much does each cake cost? [ \(2w + 10 = 24 \), \(w = 7\)]

Q9) Three consecutive numbers sum to 33. What values are these three numbers? [ 10,11 and 12]

Q9) 8 cakes and 5 biscuits cost the same as 6 cakes and 15 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 5 = 6c + 15\),\(c\) = 5, A cake cost £5.]

Q10) Nathan buys 5 cakes with a cup of tea at £6. This costs £51. How much does each cake cost? [ \(5w + 6 = 51 \), \(w = 9\)]

Q10) Three consecutive numbers sum to 12. What values are these three numbers? [ 3,4 and 5]

Q10) There are three boys Adam,Bart and Charlie. Bart is 2 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 28. What are their ages? [ Adam is 5, Bart is 7 and Charlie is 16 year old.]