Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Alex buys 10 cakes with a cup of tea at £8. This costs £48. How much does each cake cost? [ \(10y + 8 = 48 \), \(y = 4\)]

Q1) Three consecutive even numbers sum to 12. What values are these three numbers? [ 2,4 and 6]

Q1) 5 cakes and 6 biscuits cost the same as 2 cakes and 18 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 6 = 2c + 18\),\(c\) = 4, A cake cost £4.]

Q2) Jennine buys 2 cakes with a cup of tea at £7. This costs £25. How much does each cake cost? [ \(2w + 7 = 25 \), \(w = 9\)]

Q2) Three consecutive numbers sum to 9. What values are these three numbers? [ 2,3 and 4]

Q2) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 45. What are their ages? [ Adam is 7, Bart is 17 and Charlie is 21 year old.]

Q3) Jennine buys 7 cakes with a cup of tea at £3. This costs £38. How much does each cake cost? [ \(7y + 3 = 38 \), \(y = 5\)]

Q3) Three consecutive numbers sum to 33. What values are these three numbers? [ 10,11 and 12]

Q3) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 26. What are their ages? [ Adam is 6, Bart is 7 and Charlie is 13 year old.]

Q4) Eva buys 4 cakes with a cup of tea at £4. This costs £40. How much does each cake cost? [ \(4w + 4 = 40 \), \(w = 9\)]

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 7 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 41. What are their ages? [ Adam is 7, Bart is 14 and Charlie is 20 year old.]

Q5) Ariel buys 5 cakes with a cup of tea at £4. This costs £14. How much does each cake cost? [ \(5x + 4 = 14 \), \(x = 2\)]

Q5) Three consecutive numbers sum to 24. What values are these three numbers? [ 7,8 and 9]

Q5) There are three boys Adam,Bart and Charlie. Bart is 3 years older than Adam. Charlie is 2 years older than Bart. Their ages sum to 38. What are their ages? [ Adam is 10, Bart is 13 and Charlie is 15 year old.]

Q6) Brady buys 5 cakes with a cup of tea at £4. This costs £39. How much does each cake cost? [ \(5x + 4 = 39 \), \(x = 7\)]

Q6) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q6) 10 cakes and 12 biscuits cost the same as 8 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 12 = 8c + 16\),\(c\) = 2, A cake cost £2.]

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

Q7) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q7) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 25. What are their ages? [ Adam is 5, Bart is 6 and Charlie is 14 year old.]

Q8) Monique buys 3 cakes with a cup of tea at £10. This costs £19. How much does each cake cost? [ \(3z + 10 = 19 \), \(z = 3\)]

Q8) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q8) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 5 years older than Bart. Their ages sum to 25. What are their ages? [ Adam is 6, Bart is 7 and Charlie is 12 year old.]

Q9) Lumaya buys 6 cakes with a cup of tea at £3. This costs £51. How much does each cake cost? [ \(6z + 3 = 51 \), \(z = 8\)]

Q9) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q9) 9 cakes and 5 biscuits cost the same as 4 cakes and 20 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 5 = 4c + 20\),\(c\) = 3, A cake cost £3.]

Q10) Julie buys 7 cakes with a cup of tea at £10. This costs £80. How much does each cake cost? [ \(7x + 10 = 80 \), \(x = 10\)]

Q10) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q10) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 44. What are their ages? [ Adam is 8, Bart is 13 and Charlie is 23 year old.]