Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Eva buys 5 cakes with a cup of tea at £8. This costs £53. How much does each cake cost? [ \(5w + 8 = 53 \), \(w = 9\)]

Q1) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q1) 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 47. What are their ages? [ Adam is 9, Bart is 17 and Charlie is 21 year old.]

Q2) Alex buys 6 cakes with a cup of tea at £4. This costs £40. How much does each cake cost? [ \(6w + 4 = 40 \), \(w = 6\)]

Q2) Three consecutive numbers sum to 15. What values are these three numbers? [ 4,5 and 6]

Q2) There are three boys Adam,Bart and Charlie. Bart is 1 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 21. What are their ages? [ Adam is 5, Bart is 6 and Charlie is 10 year old.]

Q3) Brady buys 10 cakes with a cup of tea at £6. This costs £36. How much does each cake cost? [ \(10w + 6 = 36 \), \(w = 3\)]

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

Q3) 9 cakes and 7 biscuits cost the same as 5 cakes and 15 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 7 = 5c + 15\),\(c\) = 2, A cake cost £2.]

Q4) Brady buys 4 cakes with a cup of tea at £4. This costs £12. How much does each cake cost? [ \(4y + 4 = 12 \), \(y = 2\)]

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

Q4) There are three boys Adam,Bart and Charlie. Bart is 6 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 31. What are their ages? [ Adam is 5, Bart is 11 and Charlie is 15 year old.]

Q5) Brady buys 10 cakes with a cup of tea at £7. This costs £27. How much does each cake cost? [ \(10z + 7 = 27 \), \(z = 2\)]

Q5) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q5) 7 cakes and 9 biscuits cost the same as 3 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(7c + 9 = 3c + 17\),\(c\) = 2, A cake cost £2.]

Q6) Julie buys 9 cakes with a cup of tea at £8. This costs £62. How much does each cake cost? [ \(9z + 8 = 62 \), \(z = 6\)]

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

Q6) 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 51. What are their ages? [ Adam is 9, Bart is 19 and Charlie is 23 year old.]

Q7) Monique buys 2 cakes with a cup of tea at £4. This costs £10. How much does each cake cost? [ \(2z + 4 = 10 \), \(z = 3\)]

Q7) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q7) 9 cakes and 8 biscuits cost the same as 5 cakes and 20 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 8 = 5c + 20\),\(c\) = 3, A cake cost £3.]

Q8) Ariel buys 3 cakes with a cup of tea at £4. This costs £19. How much does each cake cost? [ \(3z + 4 = 19 \), \(z = 5\)]

Q8) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q8) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 7 years older than Bart. Their ages sum to 32. What are their ages? [ Adam is 5, Bart is 10 and Charlie is 17 year old.]

Q9) Brady buys 7 cakes with a cup of tea at £6. This costs £34. How much does each cake cost? [ \(7y + 6 = 34 \), \(y = 4\)]

Q9) Three consecutive numbers sum to 27. What values are these three numbers? [ 8,9 and 10]

Q9) 10 cakes and 4 biscuits cost the same as 8 cakes and 8 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 4 = 8c + 8\),\(c\) = 2, A cake cost £2.]

Q10) Jaden buys 5 cakes with a cup of tea at £9. This costs £19. How much does each cake cost? [ \(5y + 9 = 19 \), \(y = 2\)]

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

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.]