Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Sam buys 10 cakes with a cup of tea at £7. This costs £77. How much does each cake cost? [ \(10w + 7 = 77 \), \(w = 7\)]

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

Q1) 8 cakes and 4 biscuits cost the same as 6 cakes and 14 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 4 = 6c + 14\),\(c\) = 5, A cake cost £5.]

Q2) Harley buys 9 cakes with a cup of tea at £7. This costs £61. How much does each cake cost? [ \(9y + 7 = 61 \), \(y = 6\)]

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

Q2) 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.]

Q3) Lumaya buys 3 cakes with a cup of tea at £9. This costs £21. How much does each cake cost? [ \(3z + 9 = 21 \), \(z = 4\)]

Q3) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q3) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 48. What are their ages? [ Adam is 6, Bart is 16 and Charlie is 26 year old.]

Q4) Nathan buys 7 cakes with a cup of tea at £7. This costs £70. How much does each cake cost? [ \(7y + 7 = 70 \), \(y = 9\)]

Q4) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q4) There are three boys Adam,Bart and Charlie. Bart is 2 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 42. What are their ages? [ Adam is 10, Bart is 12 and Charlie is 20 year old.]

Q5) Brady buys 7 cakes with a cup of tea at £6. This costs £20. How much does each cake cost? [ \(7x + 6 = 20 \), \(x = 2\)]

Q5) Three consecutive numbers sum to 15. What values are these three numbers? [ 4,5 and 6]

Q5) 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.]

Q6) Sabrina buys 7 cakes with a cup of tea at £8. This costs £57. How much does each cake cost? [ \(7x + 8 = 57 \), \(x = 7\)]

Q6) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q6) 5 cakes and 3 biscuits cost the same as 3 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 3 = 3c + 19\),\(c\) = 8, A cake cost £8.]

Q7) Sharney buys 3 cakes with a cup of tea at £10. This costs £19. How much does each cake cost? [ \(3z + 10 = 19 \), \(z = 3\)]

Q7) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q7) 8 cakes and 5 biscuits cost the same as 3 cakes and 15 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 5 = 3c + 15\),\(c\) = 2, A cake cost £2.]

Q8) Joseph buys 3 cakes with a cup of tea at £4. This costs £10. How much does each cake cost? [ \(3x + 4 = 10 \), \(x = 2\)]

Q8) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q8) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 2 years older than Bart. Their ages sum to 36. What are their ages? [ Adam is 8, Bart is 13 and Charlie is 15 year old.]

Q9) Prabjot buys 4 cakes with a cup of tea at £8. This costs £32. How much does each cake cost? [ \(4y + 8 = 32 \), \(y = 6\)]

Q9) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q9) There are three boys Adam,Bart and Charlie. Bart is 3 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 33. What are their ages? [ Adam is 7, Bart is 10 and Charlie is 16 year old.]

Q10) Steven buys 7 cakes with a cup of tea at £6. This costs £55. How much does each cake cost? [ \(7x + 6 = 55 \), \(x = 7\)]

Q10) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q10) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 2 years older than Bart. Their ages sum to 36. What are their ages? [ Adam is 8, Bart is 13 and Charlie is 15 year old.]