Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Luke buys 8 cakes with a cup of tea at £6. This costs £46. How much does each cake cost? [ \(8x + 6 = 46 \), \(x = 5\)]

Q1) Three consecutive numbers sum to 27. What values are these three numbers? [ 8,9 and 10]

Q1) 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.]

Q2) Luke buys 9 cakes with a cup of tea at £9. This costs £81. How much does each cake cost? [ \(9w + 9 = 81 \), \(w = 8\)]

Q2) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q2) 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.]

Q3) Ariel buys 10 cakes with a cup of tea at £7. This costs £97. How much does each cake cost? [ \(10w + 7 = 97 \), \(w = 9\)]

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 10 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 60. What are their ages? [ Adam is 10, Bart is 20 and Charlie is 30 year old.]

Q4) Jonathan buys 8 cakes with a cup of tea at £9. This costs £57. How much does each cake cost? [ \(8x + 9 = 57 \), \(x = 6\)]

Q4) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q4) 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 27. What are their ages? [ Adam is 5, Bart is 8 and Charlie is 14 year old.]

Q5) Anna buys 3 cakes with a cup of tea at £7. This costs £13. How much does each cake cost? [ \(3z + 7 = 13 \), \(z = 2\)]

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

Q5) 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.]

Q6) Monique buys 4 cakes with a cup of tea at £5. This costs £33. How much does each cake cost? [ \(4w + 5 = 33 \), \(w = 7\)]

Q6) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q6) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 41. What are their ages? [ Adam is 5, Bart is 15 and Charlie is 21 year old.]

Q7) Brady buys 5 cakes with a cup of tea at £4. This costs £19. How much does each cake cost? [ \(5x + 4 = 19 \), \(x = 3\)]

Q7) Three consecutive numbers sum to 12. What values are these three numbers? [ 3,4 and 5]

Q7) 9 cakes and 2 biscuits cost the same as 7 cakes and 8 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 2 = 7c + 8\),\(c\) = 3, A cake cost £3.]

Q8) Sam buys 4 cakes with a cup of tea at £4. This costs £44. How much does each cake cost? [ \(4z + 4 = 44 \), \(z = 10\)]

Q8) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q8) 9 cakes and 6 biscuits cost the same as 4 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 6 = 4c + 16\),\(c\) = 2, A cake cost £2.]

Q9) Hassan buys 7 cakes with a cup of tea at £8. This costs £50. How much does each cake cost? [ \(7w + 8 = 50 \), \(w = 6\)]

Q9) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q9) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 5 years older than Bart. Their ages sum to 25. What are their ages? [ Adam is 4, Bart is 8 and Charlie is 13 year old.]

Q10) Logun buys 9 cakes with a cup of tea at £9. This costs £99. How much does each cake cost? [ \(9x + 9 = 99 \), \(x = 10\)]

Q10) Three consecutive numbers sum to 6. What values are these three numbers? [ 1,2 and 3]

Q10) 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 38. What are their ages? [ Adam is 6, Bart is 13 and Charlie is 19 year old.]